Q: What is the value of sin 30°cos 60° + cos 30°sin 60°? 0 O A. O B. O C. O D. 1 NIT 2 1 2
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Q: Express in the form a + bi where a and b are real numbers.
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Q: If a, B, y, ð are the smallest positive angles in ascending order of magnitude which have their…
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Q: Find the exact value ofcos(α+β)under the given conditions. sinα=15/17, 0<α<π/2;…
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Q: In the diagram below, tangent DA and secant DBC are drawn to circle O from external point D. such…
A: If a tangent and a secant are drawn to a circle from an exterior point to the circle, then the angle…
Q: If y = cos*[sec2 (30)], and (6 y will be equal to? 9.
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Q: Use Euler's formula and find real and imaginary part of: Z1 = sin(1– 3i) 22 = cos(3+ 2i)
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Q: I just want to check if my answer is right and can you also show me the steps too
A: Consider the right angled triangle ABC
Q: 5 7. Given that sin 0 and 270° < 0 < 360°, sketch 0 in standard position and fin 13 sin 2 а.
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Q: by using the triangle method, Show that cos (21an n+1 %3D n2+1 n-1
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Q: 5. Convert the equation r = 3 – sin 0 to rectangular form. (That means, in terms of x and y. Your…
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Q: To further justify the Cofunction Theorem introduced in theprevious section, use a calculator to…
A: Evaluate: sin(24.3∘) and cos(65.7∘) The given pair sin(24.3∘) and cos(65.7∘) is cofunction of one…
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Q: Express as a trigonometric function of one angle. cos 12° cos 52° − sin 12° sin 52°
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Q: Use DeMoivre’s Theorem to find [√2(cos 15° + i sin 15°)]4.Write the answer in rectangular form.
A: We have to write the complex number in rectangular form by using De moivre's theorem: 2cos 15°+i sin…
Q: 5. The expression tanz+1 1+cot" was simplified as follows. tar' s+1 = = sec" r csc I cos e cot? a…
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Q: Explain why the co-function identity is true: sin A = cos(90 - A) Then draw or find a triangle with…
A: This question can be solved using the concept of trigonometric identities.
Q: Find the product of z1 & Z2, leave answer in trigonometric form: 235 (cos플 + isin) & z2 =: +i sin 3…
A: We know that for z1 = r1 cos θ1 + i sin θ1 and z2 = r2 cos θ2 + i sin θ2 z1·z2 = r1·r2 cosθ1+θ2 +…
Q: Solve the next trigonometric equations, please include procedure. 10) sec a + tga = 0 11) 6cos+cos…
A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…
Q: b. cos x = -1 y sen « = 0
A: According to the company guidelines only first three subparts can be answered at a time. Kindly…
Q: 91 4) If tan 0 = find sin 0. Give a simplified, exact answer. (Do not give a decimal approximation.)…
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Q: 5. Is the equation cos 0 – sin 0 =1 an identity? If so, verify it. If not, explain why. %3D
A: The trigonometric equation is an identity if it is true for all cases. To check if the equation is…
Q: 8. If cos 0 = and tan 0 = , 15 8 9 17 what is sin 0? sin 0 = %3D Report your answer in simplest…
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Q: Use the half-angle formulas to determine the exact 75° sin(75°) %3D 4 V6 - V2 cos(75°) %3D 4. V6 +…
A: To find the exact value of sin(75°), cos(75°), tan(75°)
Q: 3/2 cos x + 2 = -1 %3D 5.
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Q: Calculate /8 – 6i. Give your answer in a + bi form. Give the solution with smallest positive angle.…
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Q: Use the isosceles right triangle and the 30°-60°-90° triangle to complete the table. Give the exact…
A: We have to find the value
Q: How do you solve it and can you show me step by step
A: Draw a line AB. At the point A plot the protractor and draw 90 degree. At point B again plot the…
Q: If the cos 0 = and tan 0 = , 5 13 what is sin 0? 12 %3D 5 sin 0 = %3D Enter
A: Proceed as shown below
Q: Find all angles, 0° <0< 360°, that satisfy the equation below. 9 cos (0) – 2 sin(8) – 9 = 6 sin(0) –…
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Q: 7.3 Express as a cofunction of a complementary angle. (a) sin 89°41' = (b) cos- 3 c) sec 1.2 = %3D
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Q: 1 In right triangle ABC, mZA = 30° and mZB = 90°. Which of the following are true? I. sin(A) =…
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Q: considering only the values of θ for which sec^2θcos(2θ) is defined, sec^2θcos(2θ)= ?
A: SecA=1/cosA Cos2A=2cos2A-1
Q: 5. Is the equation cos 0 - sin 0 = 1 an identity? If so, verify it. If not, explain why. %3D
A: As we know that an identity is satisfied by any value of variable . Let's check for given equation .
Q: 5 Find the general solution: cos 20-cos 0+1 0 where 0 is an angle measured in degrees? %3D
A: The general solution includes all possible solutions typically including arbitrary constants. A…
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A: Given: ∫sin5θcos3θdθ To find: Solve the given integral. Required formulas:…
Q: 15 cos( Arcsin 17 (뉴) + Arccot 40 is equal to... -435/308 O -528/697 O 528/697 435/308
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Q: 4. If v3cot0 = 2cos0, then evaluate sin?0 – cos20 |- %3D
A: See the details solution below
Q: 2. The terminal side of angle 0 in standard position goes through the point (-1,-5). a) sin(0) b)…
A: Recall the following. If the terminal side of the angle θ that passes through the point x, y, then…
Q: 10. Show that if A ia an acute angle, sin²A+ cos² A = 1
A: This can be solved using triangle
Q: What is the exact value of sin (157.5°) using the half-angle identities? 2 /2+V2
A: We need to evaluate the exact value of sin(157.5o). So, sin157.5∘ Use the following…
Q: Find the smallest possible solution to the equation 7 tan(4a + 199°) = 8 sin(4a + 199°), where a >…
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Q: sin 0) B) 67 10) C) 167 D) 6
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Q: use a double- or half- form. to solue le equation angle [0, 2TT). in The interval [0, 21). 2 sin? ()…
A: Given, 2sin2θ=2+cos2θ
Q: Sketch the 2 "special" triangles that help you to determine EXACT values, then determine the xact…
A: We can use pythagoras theorem For right angle triangle here .
Q: Given that (1-cos(theta))/2=0.7, find cos^2(theta/2)
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Q: By comparing e3i0 = cos 30 + i sin 30 with ( ei8)3 = ( cos 0 + i sin 0)3, find the "triple angle"…
A: Euler's rule: ei3θ = cos3θ + i sin3θ -------------------Eqn (1) Also, (eiθ)3 = (cosθ + i sinθ)3
Q: Based on the figure, select all true equations. 48 cos (42) = ? cos (48) = ! sin (42) = ? sin (48) =…
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- Globally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?8.7 It is conjectured that when fields are overgrazed by cattle there will be a substantial reduc- tion in the available grass during the subsequent grazing season due to the compaction of the soil. A horticulturist at the state agricultural experiment station designs a study to evaluate the conjec- ture. Twenty-one plots of land of nearly the same soil texture and suitable for grazing are selected for the study. Three grazing regimens selected for evaluation are randomly assigned to 7 plots each. After the 21 plots are subjected to the grazing regimens for four months, the researcher randomly selects 10 soil cores from each plot and measures the bulk density (g/cm3) in each soil core. The mean soil density of the 10 cores from each plot is given in the following table. Grazing Regimen Soil Denisty (g/cm3) Continuous grazing 2.05 3.05 3.12 1.59 3.83 1.53 1.44 Three-week grazing, one-week no grazing 1.20 1.48 3.54 1.03 1.45 1.40 2.68…An agronomist is interested in comparing the efficacy of two fumigants (A and B) and a control (O) in eliminating wireworms. A field is divided into 4 sections, each section containing 3 plots. Fumigant A, B and O were randomly assigned to one plot within each section. The number of wireworms that remained on each plot after application of fumigant was recorded. Give a possible RCBD layout for the experiment.
- A researcher uses an anonymous survey to track the number of salmon caught in Gaspe. Based on a set of 115 surveys distributed to a select few of the many hundreds of anglers who fished Gaspe, it was determined that anglers caught an average of 2.3 salmon per week. For this study, the average of 2.3 salmon per week is an example of which one statistic parameter. population sampleSmoking History CoVID-19 Severity Low High Current 87 15 Former 43 9 Never 136 64 4.) One research question that could be posed using the available data: “Is there an advantage to being a Never smoker when it comes to CoVID-19 severity?” Essentially, we would like to know if the rate of High CoVID-19 severity is lower for Never smokers than it is for Current/Former smokers. Determine a method that would be appropriate for answering this research question. Using StatCrunch* and the available data, perform the statistical procedure deemed appropriate. Hint: In order to adequately answer this question, you will need to perform an additional statistical procedure a. What method did you use to answer the research question e.g., One-Sample t-Test for Means? b. Why did you select this particular method to answer the research question? c. In one to two complete sentences,…A set of 15 different integers has a median of 25 and a range of 15. 1. What is the greatest possible integer that could be in this set? 2. If the second largest number is 39 and the mode is 33, what is the coefficient of the variation? 3. What will be the value of kurtosis and its description?
- A student wondered what proportion of a large jar of thousands of marbles were red and speculated that it was 0.30. She took a random sample of 50 marbles and got 18 red marbles, for a sample proportion of 0.36. Below is a dotplot of 100 simulated samples of drawing 50 marbles from a population that is set up to have the proportion of "red marbles" to be 0.30. Based on this dotplot, would getting a sample of 50 marbles to have a 0.36 proportion of red marbles be significant evidence that the true proportion of red marbles in the whole jar is greater than 0.30?The Virginia Department of Health publishes COVID-19 vaccination data on their website. As of 10/5/2021, 60.6% of the population of Virginia is fully vaccinated. This rate varies drastically from county to county. Specifically, Fairfax County’s full vaccination rate is 74% and Lee County’s full vaccination rate is 40%. A researcher took a random sample of 14 individuals from Fairfax County and another random sample of 14 individuals from Lee County and asked them whether they could verify that they are fully vaccinated. Each sample was selected in a single day. 1. Calculate the mean and standard deviation of the number of individuals from Fairfax County and Lee County in this sample who are fully vaccinated. Show your work using the binomial mean and binomial standard deviation formulas and provide your two means and two standard deviations in your document. Round your answers to two decimal places. (It is not necessary to use StatCrunch for this part.) 2. Calculate the probability…If the alleles A and B of the cystic fibrosis gene occur in a population with frequencies p and 1 - p (where pis between 0 and 1), then the frequency of heterozygous carriers (carriers with both alleles) is 2p(l - p). Which value of p gives the largest frequency of heterozygous carriers?
- Which ONE of the following equations forms the basis of the One-way Anova calculations? between-groups sum of squares plus within-groups sum of squares = total sum of squares between-groups sum of squares divided by within-groups sum of squares = total sum of squares within-groups sum of squares divided by between-groups sum of squares = F-statistic between-groups sum of squares plus within-groups sum of squares = F-statistic The Anova procedure will be appropriate if certain conditions hold. One of those conditions is that the population variances should be the same. sample variances should be different from each other. population means should be the same. Below is some info about a certain One-way Anova F-test. Identify the null hypothesis, alternative hypothesis and final conclusion by choosing the BEST option for each blank. Categorical Variable: type of meat being cooked (all pieces of meat are cut into one-inch cubes)…6. A research center claims that at least 30% of adults in a certain country think that their taxes will be audited. In a random sample of 1200 adults in that country in a recent year, 26% say they are concerned that their taxes will be audited. At α=0.10, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. Question content area bottom Part 1 (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. enter your response here % of adults in the country think that their taxes will be audited. B. The percentage of adults in the country who think that their taxes will be audited is not enter your response here %. C. At least 30 30% of adults in the country think that their taxes will be audited. Your answer is correct. D. Less than…A Chi square test has been conducted to assess the relationship between marital status and church attendance. The obtained Chi square is 7.45 and the critical Chi square is 9.488. What may be concluded? Group of answer choices A.reject the null hypothesis, church attendance and marital status are independent B.fail to reject the null hypothesis, church attendance and marital status are independent C.Reject the null hypothesis, church attendance and marital status are dependent D.fail to reject the null hypothesis, church attendance and marital status are dependent