Let both s and t be acute angles so that sin (s) = 4 Find cos (s + 2t) exactly. and sin (t) = (Give an exact answer. Use symbolic notation and fractions where needed.) cos (s + 2t) = Now approximate the obtained value. (Use decimal notation. Give your answer to three decimal places.) cos (s + 2t)

Q: 4. Apply half-angle formula to find a. cos 15° b. sin 15° C. COS

A: Given: cos15∘, sin15∘, cos5π8 We know that cos2x=cos2x-sin2x…

Q: Find sin), cos(), and tan() from the given information. sin(x) = 13' 4, 0° < x < 90° sin) -I cos…

A:

Q: (2) If 5 Sin A +3=D0 where A E]T, [, and 25 Cos B -7=0 where BE] 2n [, then find the value of Sin…

A:

Q: Find sin(즐), con(쓸). and tan from the given information. 2. cos(x) 24 180° < x< 270° 25 7 sin) = 2 5…

A:

Q: If Sin 0= 3/5 , find without using tables the values of: i) Cos 0 ii) tan 6 (ans.: i) 4/5; i) 3/4)

A:

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)

Q: Find sin x/2, cos x/2, and tan x/2from the given information. tan(x) = 2√2,   0° < x < 90°   sin…

A: Given Data The trigonometry function is tan(x)= 2√2. Then the interval is 0°&lt;x&lt;90°.   Solve…

Q: 7. Given that tan (A) = - and angle A is in 3rd quadrant and cos(B) = - and 13 angle B is in 2th…

A:

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

A:

Q: 10. Find sin 6, given that csc0= а. 12 12 b.- 2 c. 3 3

A:

Q: If sin A = where 0 < A <.Cos B = where " < B < 2n then find the value of Cos 2B, Sin (2A + B). %3D

A:

Q: Find the exact value of the expression. sin sin 16 CoS Cos 16 16 16

A:

Q: 4 Suppose that sina and 90° < a < 180°. 5 a Find the exact values of sin and tan 2 गंत 2

A:

Q: 2) What is the cos Z? Express fractions in the lowest terms. NO DECIMALS 40 Y 9. 41 Your answer 3)…

A:

Q: (c) Under the assumption that x = ´cos 0 2 sin 0, use an appropriate right triangle to cos³ 0…

A:

Q: (유) 8 Find the EXACT value of sin(A + B) if angle A is arctan and angle B is arcsin 17 sin(A + B) -

A: Given ∠A=arctan43 and ∠B=arcsin817. We have to find the exact value of sinA+B. Use formula,…

Q: -1 Determine sin=(cos a) Provide your answer be

A: cosa can be written as sin(pi/2-a) sin and sin inverse get canceled see attached image

Q: 4 5. Find the exact value of sin 105° using half-angle identity. 2+ V3 А. V2+ v2 С. B. V2 + V3 D. V2…

A: Given:  sin105o

Q: Consider the equation sin (x + ) = 2 cos (x – ). a Use compound-angle formulae to show that tan x =…

A:

Q: Find cos(θ) if sin(θ) is given and θ terminates in QI. sin(θ)= squareroot of 11/6

A: To find cos(θ).

Q: Find sin), cos), and tan from the given information. cos(x) = - 180° < x< 270° 25 sin) - cos tan

A:

Q: If sin 0= and is in QII, cos is equal to COS A 4/5 5/3 -4/5 D -5/3 B.

A: Given Sinθ=35We know sin2x+cos2x=1Upon substituting:cos x=1-sin2x        =1-(35)2

Q: 3 – 5 (cos (a) + cos²(ß)

A: Given: 3-5cos2α+cos2β

Q: 2 then which of the 5 An angle e drawn in standard position terminates in the fourth quadrant. If…

A:

Q: Find the exact value of the expression. 7 sin sin + cos 25 17

A: Use sin(A+B)  , expand and solve

Q: How do I find sin P, cos P, and tan P with these values: p = 2√3 q = √15 r = 3√3

A: How do I find sin P, cos P, and tan P with these values: p = 2√3 q = √15 r = 3√3

Q: If cos² 9x sin 91 = cos B, then B =

A: Given Problem:- ifcos29x-sin29x=cosBthen find B

Q: Given that sin 0= 11/61 and cos 0 < 0, determine the values of the sine and cosine functions for 20.

A:

Q: 12) sin? 0 +2 - cos? 0 = 3sin 0

A: (12) Given: - The equation is, sin2θ+2-cos2θ=3sinθ To solve: - The solution of the given equation.

Q: 1. If cos(x) = and sin x < 0, find sin(2x) as a fraction in simplest terms. sin(2x) = -4 5 -24 25 24…

A: Given cos(x)=35 and sin(x)&lt;0

Q: 2.12. Find the exact values of sin 2u, cos 2u, and tan 2u using the double-angle formulas given that…

A:

Q: 5. Use a half-angle identity to find the exact value of sin cos x = 12

A: To find the value of sin

Q: Find sin(a), given that cos(a) = 2/5 and sin(a) < 0.

A: As we know that, the trigonometric identity: sin2θ+cos2θ=1 Given: cosa=25

Q: and 9o c oc 180 Sin e = Gf Cos 2 SUPPOSE that find exact values and tan 2. Cos tan

A:

Q: 2 sin- If p = cos -1 q, show that 4p? – 4pt + q? = 1.

A:

Q: If cos a + cos B= a and sina + sin B= b, then show that 2 sin 2a + sin 2B = 2ab 1 a2 + b2

A: given: cosα+cosβ=asinα+sinβ=b we have to show that  sin2α+sin2β=2ab1-2a2+b2 R.H.S: 2ab1-2a2+b2…

Q: 2/5 If cos a = and sin a < 0, find the exact value of cos (a +) Show the formulas you are using.

A: The trigonometric function value is given by cosα = 255 and sinα&lt;0 To evaluate : The value of…

Q: cos 52.5° cos 7.5° %3D II

A: We know that cosAcosB=12cosA+B+cosA-B

Q: If P = A sin 0 + B cos 0 and Q = A cos 0- B sin 0, find the value of A2 + B² in terms of P and Q. А.…

A:

Q: 7. Find the angle for sin V2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. If sin A = -35 with A in QIII and cos B = 5 13 with B in QIV, find the following. a. sin (A + B)…

A:

Q: rewrite cos(x+4pi/3) in terms of sin(x) and cos(x)

A:

Q: 5. Evaluate sin?(e3-/ 10378) +cos?(e3-T/ 1037r/8) =?

A:

Q: Find sin sin(), cos(2), and tan (2) from the given information. 24 cos(x) = 180° < X < 270° 25 sin()…

A: I have stated the used formulas in the solution.

Q: Suppose sin(@) = -³/5 and sin(ø) = –³/17. with both angles are in the interval n, 3*/2]. What must…

A: sinθ=-35sinϕ=-817

Q: 1. Suppose that cos = 0.68. What is the value of sin(=)? Explain.

A: First we assume cos(α)=0.68cos(α)= 68100 we know that  cos(θ)=adjacenthypotenuseLets mark the…

Q: a. Apply the formula for cos (A - B) to the identity sin x = cos(pai/ 2 - x) to obtain the addition…

A: a). Obtain the addition formula for sin(A+B) using the identity as follows.

Q: 7 If Sin A = . Cos B = where A, BE]0,[ then 25 find the value of Sin (A+B), Cos (A-B)

A:

Q: 2. If 5 sin 0 + 12 cos 0 = 13, then what is 5 cos 0 - 12 sin 0 equal to? (a) -2 (b)-1 (c) 1 (d) 0

A: We can find the answer as below.

Q: 1 Cos(2) COS is equal 2]

A: