number (cos 0 +i sin 0)Sis equal to Cong 05 a51icin 05)

Q: 19] Express (cos + i sin - 12 [cos- 19T COS 3 + i sin 36 in the form a + bi. 36 3 3

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Q: 20) z = 10(cos 30° +i sin 30°) w = 5(cos 10° + i sin 10°) Find 2 w Write the expression in the…

A: Answer (20): The two complex numbers are given as , z=10cos30°+isin30° and  w=5cos10°+isin10° To…

Q: 11 a Express 3 cos0 + 2 sin@ in the form Rcos(@ – a), where R>0 and 0°<a< 90°. Give the value of a…

A: 11.The given expression,5 cosθ+2 sinθ

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: 7. Find the area of one loop of the rose r= 38 sin 30. Give your answer as an exact value.

A: Given the curve r=8sin3θ . We need to find the area of the one loop of the rose. First we need to…

Q: by using the triangle method, Show that cos (21an n+1 %3D n2+1 n-1

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Q: Perform the indicated operation. 3. [4(cos 60° + i sin 60°)][6(cos 330° + i sin 330°)]

A: We have to solve given Questions.

Q: Find the four fourth roots of z = 16( cos +i sin 12). Write each root in standard form. Wo = W1 = W2…

A: z=16cos2π3+isin2π3 For forth roots of z z14=16cos2π3+isin2π314 z=2cos2+nπ3+isin2+nπ3 Where n=0,1,2,3…

Q: Show that the equation z? = sin z + r cos r+ 17 has at least two solutions. Use facts and theorems…

A: Here we can use the fact that, If f(x) is continuous in [a , b] and f(a) and f(b) has opposite sign…

Q: Find the real part, the imaginary part, and the absolute value of23. cosh(ix) 24. cos(ix) 25. sin(x…

A: To find:Real part , Imaginary part a) cosh(ix)=12eix+e-ix=eix2+e-ix2but eix=cosx+i sinx…

Q: Which is equal to sin 36°? sin 54° B) sin 64° Cos 54°

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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: Express in the form a + bi where a and b are real numbers.

A: To express: The expression 3cos3π2+isin3π2 in the form of a+ib. Given: The expression is…

Q: 2. A tower is put on level ground such that it is perpendicular to it. Two guy wires brace the tower…

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Q: Solve the equation on the interval 0<0< 2x. cos (20) + 10 sin 20 = 7 A. T 21 4n 5T 0 = 0 3= %3D 3'…

A: we have to solve the following

Q: 30. cus 70 + i sin 70= A 7(cos 0 + i sin 0) B 7(cos 0 - i sin 6) C ( cos 0 + i sin O? D cos 20 cos…

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Q: 5. [10] Use DeMoivre's Theorem to expand [4(cos 60° +i sin 60°)]". Write your answer in a + bi form.…

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Q: (a) If cos^2(23∘)−sin^2(23∘)=cos(A∘), then A=   degrees. (b) If cos^2(6x)−sin^2(6x)=cos(B), then…

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Q: 10. Verify the Identity: sin O sec 0 = cos 0- cos 20. Are there any angles for which the identity…

A: Question 10,Given,          sinθsecθtanθ+cotθ=cos2θ-cos2θ

Q: the exact value   Cos θ= 3/5, 0<θ<π/2 a. Sin (2θ)= b. Cos(2θ)

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Q: 6. Find the value sin ( 390 degree) a. 1/2, b. (square root of 2) /2 c, -1/2

A: Given     Sin(390)=? First we convert the 390 into simple form

Q: Find all solutions to cos(80) – cos(20) = sin(50) on 0 <0 < 3 0 = 0, Give your answers as a list…

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Q: Find all solutions to cos(70) cos(p) = sin(40) on 0 ≤ ø Give your answers as a list separated by…

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Q: Find all solutions to cos(7ø) – cos(4) sin(4ø) on 0 < ¢ < 3 Give your answers as a list separated by…

A: cos(7ϕ)-cos(ϕ)=sin(4ϕ)-2sin7ϕ+ϕ2sin7ϕ-ϕ2=sin(4ϕ)-2sin(4ϕ)sin(3ϕ)=sin(4ϕ)sin(4ϕ)+2sin(4ϕ)sin(3ϕ)=0sin…

Q: 5) Find the exact Value of each trigonomețric Tunction Show answers In fractie Sin0° = 90 60 Cos30°…

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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: 2. Based on the figure, select ALL true equations. * B a 48° A cos(42)=b/c cos(48)=b/c sin(42)=b/c…

A: Cos A =ACAB

Q: 2- cos? 0 = 4sin 0 – 3sin² 0 %3D

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Q: Find the length of the path over the given interval. (7 sin 4t, 7 cos 4t),      0 ≤ t ≤ pi

A: Given: 7sin4t, 7cos4t, 0≤t≤π To determine: The length of the path over the given interval.

Q: 10. The expression sin (32) cos (22) - cos (32) sin (22) is equal to

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Q: Find the four fourth roots of z = 16( cos + i sin 3 Write each root in standard form. Wo = W1 = W2 =…

A: We will use the De-Moivre's theorem to find out the 4th roots of the complex number.

Q: 5)Use De Moivre's theorem to simplify the following a)(cos 20+i sin 20)(cos 50+i sin 50)

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Q: Find all solutions to cos(5ø) – cos(4) = sin(3ø) on 0 < ¢ < T $ = Give your answers as a list…

A: To find the all solutions for the given trigonometric equation.

Q: 1. Determine the exact value of the following trig expression. a) sec 4 + sin b) sin 12 - cos 6. 6.

A: A): sec7π4cos7π6+sin7π6=cos(π+π6)cos(2π-π4)+sin(π+π6)=cos(-π6)cosπ4+sinπ6=-32×2+12=1-62 is the…

Q: tane – cot0 a. Prove 1 – 2cos?0 6. Show 1– 8sin?0· cos²0 = cos(40) | tane + cot0

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Q: V125 cos- jsin 11 - | 11 Simplify . Express answer in rectangular form. 5 cos 47 + j sin 11 11

A: Rectangular form of the complex number

Q: "hat is the given trigon 1– 2 cos² 0 sin 0 cos 0 p a. tan2 0

A: In this question we will use basic of trigonometry i.e use of trigonometric ratios and trigonometric…

Q: 11. If triangle AABC exists such that c= 1, y = and sin 3 = then b is V2 В. 4 С. 4/2 A. 2/2 D.

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Q: 3 and P (0) is in QII. Given sin 0 == %3D Find the exact value of sin 20 O 24 25 9. 25 O 18 25 24 -…

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Q: 7) Find the value of 0 degrees rounded to 2 places, given: sin 0 = -.7568, tan 0 < 0

A: Important points for the question: tan θ &lt; 0  =&gt; tan θ = negative tan θ = sin θ/cos θ   sin θ…

Q: 7. *cos(2) dr 7.

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Q: Find the solution(s) for theta. 6√3-9 sin 8

A: To solve the given trigonometric equation

Q: 12 3 cos.x cosa 5 and 13 where and a are both acute, find $in(ca -x). 27. If

A: The angle can be calculated from the measure of the cosine. The inverse of the cosine value will…

Q: (-41) (sin(21) – cos(21) )²

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Q: 30. cus 70 + i sin 70 A 7(cos 0 + i sin 0) B 7(cos 0 – i sin 6) C ( cos 0 + i sin 0 D cos 20 cos 50…

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Q: the interval Lo, 24). 2 sin e-3 sin ☺ + 1 = O. 4.) Solue the equation on Theta %3D

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Q: Find the two square roots of z = 25(cos 40° + i sin 40°). Leave your answers in trigonometric form.

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Q: Find all solutions to cos(3ø) – cos(4) = sin(26) on 0<p<2π $ = Give your answers as a list separated…

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.