85. Evaluate cos (90° – sin-1) a) + V15 2-V15 b) unde fined c) +V15 4-V15 2-V15 d) + e)

Q: → find period of 8- @yotan 2 y. 5 cos 1o* 10 yo 11

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Q: 19 If x= cos 30 and y = sin 30 , then O a.-3 cot 30 O b. 3 tan 30 O C.-3 tan 30 o d.- cot 30

A: We have to find the differentiation like in the parametric form of differentiation . We have the…

Q: Find the exact value ofcos(α+β)under the given conditions.   sinα=15/17, 0<α<π/2​;…

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Q: If y = cos*[sec2 (30)], and (6 y will be equal to? 9.

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Q: 8. If tan 03D and 0 is in QIII, what is sec 0?

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Q: a 48° A C O cos(42) = %3D 9. O cos(48) - sin(42) sin(48) C. O tan(42) = O tan(48): 40

A: By the angle sum property the third angle is, x=180-90-48=42 Thus angle B is 42 degree (1) cos42=bc…

Q: 57T then 4° If 0 %3D - sin(0) equals cos(8) equals tan(0) equals sec(0) equals

A: Using trigonometrical identities.

Q: Derive formula (2) on page 601. cosucos v 5lcos (u – v) + cos (u + v)]

A: Given equation is cosucosv=12cosu-v+cosu+v. cosu-v=cosucosv+sinusinvcosu+v=cosucosv-sinusinv

Q: In right triangle ABC, mZA = 30° and mZB = 90°. Which of the following are true? 1. sin(A) = sin(C)…

A: topic- trigonometric identities

Q: By expanding sin (2x + x) and using double angle formulae, show that sin 3x = 3 sin x – 4 sin'x.…

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Q: The degree measure of an acute angle in a right triangle is x. If sinx=2/3, are sin(90°−x) equal to…

A: We will calculate cos(x) and find all the other trigonometric ratios.

Q: 5 7. Given that sin 0 and 270° < 0 < 360°, sketch 0 in standard position and fin 13 sin 2 а.

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Q: Given that (1-cos(Theta))/2=0.7, find sin^2(THETA/2)

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Q: A, = AP, cos (lot + 20) Az=APz sin (lot - 40) when A, lagS A, by 210, since A, may be written as :-…

A: If, X=B1sinωt and Y=B2sinωt-θ, then, it can be said that Y lags X by an angle θ .

Q: If w-f(a,b,c)=cos(ab)sin(b)+c, what is at -,6 )? 2 3

A: The given function is w=fa,b,c=cosabsinb+c and the point 12,π3,6. .

Q: 2 _ 2 if tane + sin0= m and tan0 – sin0 = n ,show that m² – n´ = 4 mn

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Q: 4. U se a scient calculator to approximate in decin degrees and follow significant figu rules: 0 =…

A: Our objective is to find theta

Q: 31. (cos 40 + i sin 48)²(cos 30 + i sin 30) = A cos 50 + i sin 50 B cos 110 +i sin 110 C_ cos 30 + i…

A: cos4θ+isin4∅2cos3θ+isin3θ= formula used- CosACosB-SinASinB=Cos(A+B)SinACosB+CosASinB=Sin(A+B)i2=-1

Q: The entrance of Angel Stadium in Anaheim is cemposed of baseball bats configured in various right…

A: Given∠DCE =34°CD =47

Q: 7 If cos x s and sin y = -0 < x <,n < y < *, evaluate sin(x – y) using compound angle formula. %3D…

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Q: (b) в — р2'а, + psin'ф а, + 2pz sin' ф а, sin²o as + 2pz sin*ф а,

A: The complete solutions are given below

Q: If w=f(a,b,c)=cos(ab)sin(b)+c, what is at ( -,6

A: Given function and point is  w=f(a,b,c)=cos(ab)sin(b)+c and 12,π3,6

Q: . Suppose csc(A)· where A terminates in QIV, and sec(B) = -3 where B terminates in QII %3D a) First…

A: Note the trigonometric identities :

Q: Part 3 of 4 COS X d —CSC X + С dx To check for the result, prove that 1 - cos?x

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Q: To evaluate tan z cos z dz, we may substitute u= cos z.

A: Given,          ∫tan3xcos2xdx

Q: In Exercises 25-28 find dr/de. 25. r= tan (2 – 0) 26. r= sec 20 tan 20 27. r= Vo sin 6 28. r= 20V…

A: r = tan2-θd rdθ = ?

Q: 9. If the sin (x +20°) = cos x, what is the measure angle x? %3D

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a…

Q: 1 In right triangle ABC, mZA = 30° and mZB = 90°. Which of the following are true? I. sin(A) =…

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Q: Done Find sin(20) if sec 0 = 3/2 and tan 0 < 0. %3D 6 Reply 1 Forward

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Q: considering only the values of θ for which sec^2θcos(2θ) is defined, sec^2θcos(2θ)= ?

A: SecA=1/cosA Cos2A=2cos2A-1

Q: 6 If csc B =6, e in Q2, find Sin(20) with

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Q: 15 cos( Arcsin 17 (뉴) + Arccot 40 is equal to... -435/308 O -528/697 O 528/697 435/308

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Q: Suppose 0 is an angle such that cos(0) If 0 < 0 < T, then cos 5 2 and sin ) If п <0 < 2т, then cos 2…

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Q: 4. If v3cot0 = 2cos0, then evaluate sin?0 – cos20 |- %3D

A: See the details solution below

Q: What is the exact value of cos(85°) cos(65°)– sin(85°)sin(65°) ,

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Q: If sec(α)=25.2/19.4, then what is the value of cos(α)?

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Q: Express as a sum or difference.2 sin 9 θ cos 3 θ

A: Given,           2sin9θcos3θ

Q: 10. Show that if A ia an acute angle, sin²A+ cos² A = 1

A: This can be solved using triangle

Q: 7x sin 4 %3D nswer, including any

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Q: How do you evaluate ∫ sinmx cosnx dx if m is odd? What if nis odd? What if m and n are both even?

A: If n is odd use substitution with u=sin x, du=cos xdx and convert the remaining factors of…

Q: what is the exact value using half angles for 1. sin(11pi/12) 2. cos (7pi/8) 3. tan (5pi/12

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Q: use a double- or half- form. to solue le equation angle [0, 2TT). in The interval [0, 21). 2 sin? ()…

A: Given,            2sin2θ=2+cos2θ

Q: If z = os0+ I sin 0 and y= cos Isin p, then show that %3D 2 cos(@-).

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Q: Given that (1-cos(theta))/2=0.7, find cos^2(theta/2)

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Q: 3. If tan(a-iß) = x- iy , show that x? + y?-2ycoth2B = -1

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Q: Prove by MSE that a. sin 90° = 1 b. cos 180° = -1

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Q: Suppose, for some angle 0 drawn in standard position, tan(e) = -24/7 and sin(0) < 0. Find the exact…

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