with a in quadrant II, and 5' given that cos a = sin B = 7' 3 with B in quadrant IV. -- 57. sin (a - B) 58. cos (a - B) 59. csc (a + B) 61. cot (a-B) 60. sec (a + B) 62. cot (a + B) 63-70, verify each identity. In find the exact value of expression,

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A: We have to verify algebraically  sin2θ/(1 + cosθ) = 1 - cosθ Also also verify cosθ - sinθ = 1…

Q: 12. Verify the identity by transforming the left side of the equation into the right side. csc 0-sin…

A: 12. We need to verify the following identity cscθ-sinθ = cotθcosθ

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Q: Find cos 0 if cot 0 =4/3 and sin 0 < 0.

A: Also given that sinθ<0, this means sinθ is negative. So, cotθ=cosθ/sinθ means cosθ also have to…

Q: 4. Find the exact value. cos- 3 cos

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Q: Find  sin?,cos?,???tan?sin⁡θ,cos⁡θ,andtan⁡θ  if  csc?=−2921csc⁡θ=−2921    and  cos θ < 0.

A: Given Cosecθ=2921and we have to calculate the value of sin(θ), cos(θ), tan(θ)

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A:

Q: Find the exact value of cos(a - B) given that sina 4 and cos3 for 8. %3D a in Quadrant III and 3 in…

A: Given: sinα=-45 and cosβ=-58. Here, α is in 3rd quadrant and β is in 2nd quadrant. cosα-β is given…

Q: a +beta)= cos(alpha+beta)= alpha +beta is in quadrant? sin(alpha-beta)= cos(alpha-beta)=…

A:

Q: If cos(0) = 3 and 0 is in the 3rd quadrant, find the exact value for sin(0). %3D sin(0) =

A: Given that,  cosθ=-34 and θ is in 3rd quadrant cosθ=-34= adjacent sidehypotenuse side Therefore the…

Q: 4.1- cos? 0 = sin 0cose tan 0

A:

Q: If cos α=0.755 and sin β=0.051 with both angles' terminal rays in Quadrant-I, find the following:…

A: We have to find the value of cos(α+β), sin(β−α).

Q: Find the exact value of cos 70° cos 40° + sin 70° sin 40°.

A:

Q: Find the exact value of cos20 given csce = – -- and tane > 0 Simplify the trigonometric expression…

A: Given that cscθ=-52 and tanθ&gt;0. Need to find the exact value of cos2θ.

Q: If cos(0) and 0 is in the 3rd quadrant, find the exact value for sin(0). COS

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Q: 7 and tan 0 > 0, find the exact value of cos 0 If csc 0 = %3D

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Q: If cot 0=-4 with 0 in Q2,

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Q: If sin(x) (in Quadrant-I), find 19 cos(2a) = %3D (Please enter answer accurate to 4 decimal places.)

A:

Q: Is there a value xr for which cos 3x is equal to x? If your answer is 'yes', find with precision to…

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Q: 4. Find the exact value of sec (585°). 5. Find the exact value of (sin 150°)? + (cos 150°)².

A:

Q: 4. Determine the exact value for 5TT cos cot 3TT sec

A:

Q: If sine= 2 and sece<0, find cose and tane 2/5 cos e= 2, tane= 3 -25 cose= 3 tan e= 5 5 O sece= 2/3,…

A:

Q: 1. What is the exact value of: sin(arctan (-}) + cos-!(÷))

A:

Q: If cos(x) = 13 (x in Quadrant III), find 24 - Round answers to 4 decimal places. sin 2. %3D I. CoS…

A: Topic:- trigonometry

Q: Assuming that sin 0 = 0.6875 and cos o = 0.5625 and that both 0 and p are first-quadrant angles,…

A:

Q: Given sinθ=- 1/5 and tan θ > 0, find cosθ     - √26/25     - √26/5     - 2√6/5     - 4√6/5

A:

Q: Find the exact values of sin(2x). cos(2x) and tan(2x) without solving for x. If cosx =, and x is in…

A: Given ,  cosx = 2/3 and x is in quadrant 1 We have to find exact value of sin(2x) , cos(2x) ,…

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: 1. If theta = arcsin(1/2) and 90deg < theta < 270deg, what is tan theta? 2. Find the value of…

A:

Q: 3 and cos B = with a in QI and B in QII. 13 2. Find the exact value of sin(a - B) if sina = = --

A:

Q: 5. If 0° < 0 < 90° and tan 0 =, find sin 0 using trigonometric identities. 3/5

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Q: 5- When the (1+cos 0 = 2 sine),the value of (0) from 0° to 360°.

A:

Q: 1. Determine an exact value for the following expression: л sin COS sec+tan 444 4

A:

Q: 6. Determine the values of x to the nearest degree if: Be sure to have a diagram for each one.…

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: 1. If sin B = with B in QII, find CoS Write your solution on a separate sheet of paper.

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Q: If cos(0) and 0 is in the 4th quadrant, find the exact value for sin(0). 3 sin(0) =

A: Given that: cosθ=13, θ in 4th quadrant.To find sinθ

Q: Find the exact value of the expression below, if defined. [sin-) + 2 sin-1 (-) - 2 COs in°

A:

Q: If cos(0) and 0 is in the 4th quadrant, find the exact value for sin(0). sin(8) -

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Q: 2. If we verify the identity 1-cos² 0 = cos? Otan? 0 numerically by substituting the value 0 = the…

A: Given identity: 1-cos2θ=cos2θtan2θ

Q: Find the exact value of cos(α − β) given that sinα = −4/5 and cosβ = −5/8 for α in Quadrant III and…

A:

Q: 1. Verify the identity sin? x- sin* x cos?(-x)- cos*(-x) by rewriting the left side of the equation.…

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Q: Find exact values for sin 2/- using the information given. and tan (2) Cos 2

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Q: 3 Find the value of tan 0/2, if sin 0=-4/5 and e in QIII. O 1/2 2+V3 -2 14. Given tan e=1 and cos…

A: Note :-As you mentioned here for solution only question no. 14 so i am solving only this.

Q: 23.  If 0∘<θ<90∘ and sin⁡θ=1213, find cos⁡θ using trigonometric identities.

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Q: Find sinθ when cosθ=0.618 and tanθ<0.

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Q: If sin(0): 3. and 0 is in the 1st quadrant, find the exact value of cos(0) %3D cos(8): %3D

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Q: 2. If sin B is positive and cos B = find the exact values of csc ß and tan B. %3!

A: we know that sin θ = perpendicular/hypo cosθ  = base/hypo cscθ = hypo/perpendicular tan θ=…

Q: f cos 9 alpha = sina and 9 alpha < 900 , then the value of tan5 alpha is

A:

Q: 5. If 0° < 0 < 90° and tan 6 = find sin 6 using trigonometric identities.

A: