3. Suppose 0 is an acute angle in right angle triangle, and if tan 0 4. then Cos 0 is: a) b) c) d) 3 514 35

Q: Complete the sentence below. For any angle in standard position, let P = (x,y) be the point on the…

A: Given- Let P=(x, y) be the point on the terminal side of θ that is also on the circle x2+y2=r2. To…

Q: 41 Write tan 36 in terms of the tangent of a positive acute angle. Select the correct answer below:…

A:

Q: Kim said she found three angles for which sin &= Is that possible if 0° < OS 360°? Explain.

A: Givensinθ=-37As we know that sinθ is positive in the 1st and 2nd quadrant while sin(θ) is negative…

Q: Suppose you know that, for a given right triangle and acute angle 0, cos(0) = 2/5. Give the exact…

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Q: If sin D = cos E, then z D and z E must be angles. 7. O A adjacent B. complementary C. congruent O…

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Q: 4 and sec B for a third-quadrant angle a and a first-quadrant angle B, find the following If sin a =…

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Q: 5. The principal angle is ranging from 0 to pi or O to -pi True O False

A:

Q: Suppose, for a given angle 0 drawn in standard position, you are told that 270° < 0 < 360°, and tan…

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Q: Suppose v w = 5 and ||0 x w 3, and the angle between õ and w is 0. Find (a) tan 0 %3D (b) 0 = (in…

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Q: What are the values of cos a and tan a, if a is the measure of an acute angle in a right triangle…

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Q: 20) If 8 is an angle with terminal side in 4th quadrant such thatv tan 9 = a) O b) O c) O d) O then…

A:

Q: To explain why, for any acute angle u, it is impossible for sec theta =  1/2

A: To show:  It is impossible for sec theta =  1/2

Q: 1. Write a list of angle degree measurements between 0° and 180° whose sin value can most easily be…

A:

Q: 2. If a is an angle in a right triangle and sin a = , then cos a = (c) 13 13 (b) 문 (d) don't know 13…

A: Given that: sinα=1213

Q: Suppose that cote = c and What does sin equal in terms of c? O sin = √1+c² O 1 sin = √1-c² O sin =…

A:

Q: To explain why, for any acute angle u, it is impossible for cos theta =  3.

A: we know that range of cosθ is -1 to 1 so, value of cosθ can't be equal to 3

Q: If i x w = 3i+ 2j – between i and w, then k, and i· w = 4, and 0 is the angle (a) tan 0 (b) 0 : ||

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Q: If AABC is a right triangle, is 27, AB BC is 36, and AC is 45. Which of the following can be use O…

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Q: 13 14. Let CSC e = find the other five trigonometric raties of the acute anglee

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Q: Given that tan 0 8 15 and that angle 0 terminates in quadrant IV, then what is the value of cos 0?

A: tanθ=-815 θ  terminates in IV quadrant and secθ and cosθ both will be positive in IV quadrant

Q: If the value of sin A is a negative fraction, then angle A terminates in

A:

Q: If in right AABC with right angle at C, cos B : then what is the value of cos A?

A:

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: For positive acute angles A and B, it is known that cosA=8/17 tanB= 24/7 Find the value of…

A: Given that  A and B are two positive acute angles. cosA = 8/17 and tanB= 24/7 We have to find the…

Q: Show that if tan0 = c and 0 &lt; 0 &lt; π/2, then cos0 = 1/ 1 + c2.Hint: Draw a right triangle whose…

A: tan θ=cTo find: Value of cosθ, where 0≤θ≤π2

Q: Suppose that a and ß are in the first quadrant, sin(a) = , and sin(B) = . What is sin(a + B)?

A: cos2α=1-sin2α sinα+β=sinαcosβ+cosαsinβ

Q: Given that cos O 45 and that angle 0 terminates in quadrant II, then what is the - 53 value of sin…

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Q: Suppose Ø is an angle such that •<ØLI and tan o- . what is sinø? hat is cosø?

A:

Q: Use an appropriat aif-angle la to evaluate eadch quanuty. nswers in exact form.) (a) sin(77/8) (b)…

A: Part a: We can write sin7π8 as, sin7π8=sinπ-π8=sinπ8 Now, 2 sin2a=1-cos2a⇒2 sin2π8=1-cosπ4⇒2…

Q: If a,ß are acute angles such that 4 cos a = and tan ß =, 5 find cos(a - B) 15 and sin

A: We have to find cosα-β and sinβ2

Q: If tan20 = cot(0+6°) where 20 and 0+6° are acute angles, what is the value of 0? *

A: This question is about trigonometry.  We will find here value of theta.

Q: If y = tan-1 x, then y will be an angle between ____ and ____.

A: Consider  y = tan−1 x

Q: Suppose - w = 5 and ||i x u|| = 2, and the angle between i and w is 0. Find %3| (a) tan 0 (b) e

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Q: Suppose that , is an angle in quadrant 4 and that cos a = 7 Compute the exact value of 2 25 cos cos…

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Q: If a,ß are acute angles such 8 4 and tan ß =, find 5 that cos a = a. cos(a-ß) a b. sin 2

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Q: 15.(C) Does cos 60° = 1/2 mean that the side adjacent to the 60° angle measures 1 unit and the…

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Q: If A , B ,C are interior of triangle ABC ,then show that sin B+C 2 = COS 2

A: Use sum of angle of triangle

Q: Suppose 0 is an angle such that cos(0) %3D 3 If 0 < 0 < T, then cos and sin 2 If T < 0 < 27T, then…

A:

Q: In triangle ABC, 2C is a right angle. If cos(A) = and sin(A) = † , what is tan(A) ? %3D A) B)

A: tan(A)= sin(A)/cos(A)

Q: 17. Show that if tan e = c and 0 < e <7/2, then cos e = 1//1+c2. Hint: Draw a right triangle whose…

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Q: 2pq If sin A = ,where A is an acute p2+q² • angle of a right triangle, what is sec A? p² + q? p² +…

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Q: ; Suppose v · w = 8 and ||3 x w|| = 2, and the angle between v and w is 0. Find (a) tan 0 (b) 0 =

A:

Q: In A QRS, LR is a right angle. If QS = 20 and m LQ=49°, what is the length of SR? Select one: 20 tan…

A: In right angle triangle △ABC, right angled at B sin θ=PH=perpendicularhypoteneous=opposite…

Q: 1 point Find all 6 trig ratios for angle A 25m 9m B 16m sin A = 16/25, cos A = 9/25, tan A = 16/9,…

A: We have to find trigonometric ratio.

Q: Assume that θ is a positive acute angle. Given: cos⁡θ=60/61 Find: cos⁡2θ

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Q: Use Figure 22 to find all angles between 0 and 2π satisfying the given conditions.

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Q: If tan a=7/2 then which of the following is closest to the measure of angle a?

A: Given: tan a=72⇒a=tan-172        ≈74°054'

Q: Consider the following triangle: 15 Give the exact values of the following (decimal approximations…

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Q: In right ∆QRS, Angles Q and R are the acute angles. If tan Q = √51/7, determine cos R.

A: We have used the Pythagoras Theorem in this question.

Q: 1. Express cos-as a cofunction of a complimentary angle 10"

A: we have the formula  sin(π/2 - x ) = cos x Now, we have given  :  cos3π/10 So , x = 3π/10

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.