If sin A = -3/5 and cos A > 0 and cos B = 5/13 and sin B < 0, evaluate tan (A+ B ). O -63/16 O -33/56 O 63/16 o 33/56

Q: (). 11T 12 a) Using a sum or difference formula,find the exact value of sin cos(a + B) = 1- tana tan…

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Q: tan (2a) = ? For all values of a for which the expression is defined, cos?a Select the correct…

A: We know that  tan 2x = 2tanx / 1- tan^2x Hence option (B) is correct.

Q: The Equivalent expression of cos 3A sin A cos A is Select one: csc A – 2 sin A + 2 sin? A CSc A csc…

A: Simplification of trigonometric ratio

Q: Let sin A= 7/25with A in Q2 and cos B=-5/13 in Q3. Find Cos(A+B),sin (A+B) and tan (A+B). Determine…

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Q: Given: cosA= -4, sin x = - ,e is in the third quadrant, and x is in the fourth quadrant; evaluate…

A: Given:- cosθ= - 4/5 , sin x = - 12/13, θ is in the third quadrant, and x is in the fourth quadrant;…

Q: Suppose sin(0) = -3 /5 and sin(ø) = -8/17, with both angles are in the interval T, 3" /2]. What must…

A: Topic - trigonometric ratios. Given: sinθ=-35 and sinϕ=-817both on the interval π, 3π2 To find the…

Q: Use the sum-to-product identities to rewrite the expression. sin 5a + sin 2a Choose the correct…

A: Explanation of the answer is as follows

Q: Verify the identity. 5 cos? ß – 5 sin? ß = 10 cos? B – 5 5 cos? ß – 5 sin? ß = 5 cos? ß – 5 (1 - = 5…

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Q: Which one of the following is an equivalent expression to2 sin cos O sin 7 O2 sin T O2 cos T COS T

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Q: If = tan-(1) and 180° < 0< 360°, which of the fo equivalent to cos 0? %3D O 1//2 O None of these O…

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Q: If cos(a) = 2/3 , sin(b) = -3/5, P(a) in Q1, P(b) in Q3,  find sin b/2

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Q: 6. Find, without using tables, the values of Cos x and Sin x, when Cos 2x is: a) 1/8 , b) 7/25 , c)…

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Q: Given that sin(a)= -3/5 and tan(a)>0, determine the following: a.) cos(a) b.) tan (a) c.) sec(a)

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Q: Which of the following is not equivalent to cos (-? 4 a. sin O b. sin(45°) cos С. cOS d. cos 4

A: Given that: cos-π4

Q: Which of the following is equivalent to cos B(tan?B + 1) for all values of ß for which cos B(tan?B +…

A: Given that: cosβ(tan2β+1)

Q: Given that sin(a)= 3/4 and cos(b)= -1/3, with a and b both in the interval [pi/2,pi) find the exact…

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Q: Suppose sin(0) -3/5 and sin(¢) = -/17, with both angles are in the interval T, 3 /2]. What must be…

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Q: 23. Which of the following expressions are defined? Why or why not? (a) sin-(-25 (b) sin-1 3 -1 7…

A: (a). Given expression is sin-1-125. We know that domain of sin-1x is -1,1. Here, -125=-0.04. -125…

Q: If cos(a) = 2/3 , sin(b) = -3/5, P(a) in Q1, P(b) in Q3,  find cos2(b)

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Q: If sin (A – B) = 1/2, cos (A + B) = 1/2, and 0° B, then A =

A: Given : sin(A-B)=12  and cos (A+B)=12sin(A-B)=12 ⇒ A-B=sin-112A-B= 30°…

Q: Find the exact value of each of the following. a) tan(cos^-1(1/3))= b) sin(cos^-1(3/5))=

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Q: tan (a-b) tan a=3/4, with a being in q 3 sin b= 3/5 with b being in q 2   give the exact answer…

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Q: Which of the following is equivalent to 4 cos? x + 8 sin? x +4 tan? x sin? x? O 4 tan? x -4 4 sec2 x…

A: Given 4cos2x+8sin2x+4tan2xsin2xThis can be written as 4cos2x+4sin2x+4sin2x+4tan2xsin2xWe know that…

Q: 3 – 5 (cos (a) + cos²(ß)

A: Given: 3-5cos2α+cos2β

Q: Given x = 60°, tan š can be rewritten as which of the following? 1- cos 60 1- 2 sin? 60 1- cos60 tan…

A: We can find the answer as below.

Q: Let sin A = -12/13 with 270° ≤ A ≤ 360° and cos B = -3/5 with 90° ≤ B ≤ 180° and find the following.…

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Q: Which of the following is cos? (x)? O 2 sin(x) O-2 cos(sin(x)) O-2 sin(x) cos(x) O 2 sin(x) cos(x)…

A: On differentiating,we get

Q: c. tan1 (-1) d. sin (-1/2)

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Q: If cos(a) = 4/9 and tan(a) < 0, then what is sin(a)? O - 9/4 O -/65 9. 65 7 O -/65

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Q: 2л sin O -do 4+ cos 0 Evaluate

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Q: ents some number of radians where 0<a<π2, and cos(a)=0.76 and sin(a)=0.64. Determine the values of…

A: Suppose a represents some number of radians where 0&lt;a&lt;π2, and cos(a)=0.76 and sin(a)=0.64.…

Q: 11. Express 0 in each figure in terms of x. (a) (b) 3 4 12. Find the exact value of cos(tan).

A: Our Aim is to express θ in terms of x.(a) tan θ=PerpendicularBase⇒ tan θ=x4Answer⇒θ=tan-1x4

Q: Which of the following is not in the domain of tan(x)? Select all correct answers. Select all that…

A: tanx

Q: find the sin 2x,cos 2x, and tan 2x of the following cos x = 4/5, csc x < 0

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Q: Which of the following is not in the domain of tan(x)? Select all correct answers. Select all that…

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Q: Which of the following is equivalent to: sin? 2x O 4 cos“ – 4 cos² 4 cos? a – 4 cos“ O 2 cos“ – 2…

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Q: If @= tan(1) and 180 <0<360", which of the following is equivalent to cos 6? O V2 O 1//2 O-1/V2 01…

A: The detailed solution is given below Thank you

Q: Given cos (25°) - sin?(25°) = cos(A°) and cos (2x) – sin²(2x) = cos(B), determine the values of A…

A: We can find the value of A and B as below.

Q: Let sin A = with 270° < A S 360° and Cos B with 90° BS 180° and find the following. Cos(A = B)

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Q: 1. Find the exact value of the expression. cos(255°) Lan(㈜)+tan(㈜). tan) a. b. 1-tan(

A: Use formula COS(A+B)  and Tan(A+B)

Q: bcos2x+c Suppose that 2 cos z + 4 sinr cos z masin 2r + is an IDENTITY, determine the values of a,…

A: Given :2cos2x+4sinxcosx=asin2x+bcos2x+c

Q: Verify the identity. 5 cos? B – 5 sin? ß = 10 cos² ß – 5 5 cos? ß – 5 sin? B = 5 cos? 6 – 5 (1 - = 5…

A: Given : 5cos2β-5sin2β = 10cos2β-5

Q: If sin A =0 1/3 with 90° &lt;=A &lt;=180° and sin B = 3/5 with 0° &lt;= B &lt;=90°, find each of the…

A: Given: sin A = 13 with 900 ≤ A ≤ 1800 and sin B = 35 with 00 ≤ B ≤ 900   To find:            cos A2

Q: 9. The expression 2(sin30 9 - tan45 is equal to а. -1 с. 1 b. 0 d. 2 10. What is cos-0.32)? a:…

A: 9. let y = 2sin(30)-tan(45) we know that  tan(45) = 1 sin(30) = 0.5

Q: If 0 = sin () and 90° < 0 < 270°, which of the following is equivalent to tan 0? O 1//3 O None of…

A: Given θ=sin-112

Q: If cos A  = 1/2 with A ,find the following  cos A/2

A: We have, cos (A)=12.  Applying the trigonometric identity cos (2A)=2 cos2(A)-1, and making the…

Q: 29. If sin (a) 3 5 -34 and cos<0, then tan = = 3 (b) (c) (d) 4 3 六

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Q: If sin A = 3/5 with A in QI and cos B = - 5/13 with B in QIII, find sin (A + B), cos (A + B), and…

A: sinA=35  &amp;  cosB=-513 Now by using the identity sin2A+cos2A=1, we get…

Q: R If is in standard position and ≤0≤ and sin 2 O 5 O_3 3 3 9 then the value of tan is:

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Q: Select all that apply. Solve for x, 0<x<27 : tan x cos x - tan x = 0 2 TI EIN O O

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