Perform the indicated operation. Reduce to Rectangular Form 1.1 [2 (cos 25 + i sin 25)] * [5(cos 75 + i sin 75)] 1.2 [8(cos 18 +i sin 18)] * [6(cos 24 + i sin 24)] 1.3 [15(cos 140 +i sin 140)] * [4(cos 280 + i sin 280)]

Q: find the indicated power. Write the answer in standard form 1)  [2(cos30° + i sin 30°)]8 9) (1 -…

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Q: Rewrite the expression as a sum or difference a) sin52.5° sin97.5° b)prove the identity…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: How does "COSA = Cos360-143" turn into "COSA=Cos143"?  Is it because COS360 is positive that it just…

A: Let's solve trigonometric value.

Q: Which of the following is equal to cos 63?

A: We know that the identitycos2x=cos2x-sin2x         =1-2sin2x         =2cos2x-1…

Q: Evaluate sin" 0 cos Od0 63 8x 105 63 16 105

A: Topic - integration

Q: 2 with '3' Given that cos 2x = W|N J 2<x<*, determine the exact value cos x. cos x = (Simplify your…

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Q: a) 6(sin15degrees)(cos15degrees) b) sin(7pi/12)sin(13pi/12)-cos(7pi/12)cos(13pi/12) evaluate each…

A: Part a,          6sin15°cos15°We know that,         The double angle trigonometric formula is given…

Q: 1+ cose 59. сos? 2 1+ cos 4 1+ 2 cos? 8 1 + 2 4 1 cos - > 0, so cos 8 8 4 2. II

A: Given that, cos2π8. To simplify this, apply the trigonometric property: cos2θ2=1+cos2θ22=1+cosθ2 in…

Q: 2. Express cos(60) in terms of powers of cos only.

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Q: 2730n ? 365 Which number is equal to coS 1 e-i2n335n/365 1 1 ei2n335n/365 2 (a) pi2n30n/365 (b)…

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Q: III. Verify the identity. 5.) 1-Cos 2x tan?x %3D 1+ cos 2x

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Q: Establish the identity cos ²(80) – sin2(80) = cos (160).

A: Given : cos28θ - sin28θ = cos16θ

Q: a) Is cos(2-30°) equal to cos² 30° - sin² 30° ? Yes or No. || b) Find the value of cos(230°).

A: a) cos ( 2.30°) = cos230 - sin230

Q: Without a calculator, evaluate the following exactly. a) cos-1(1/2) b) cos-1(-1/2) c)…

A: (a). Given,

Q: Find sec 0 if cos 0 ||

A: Our Aim is to find sec θ given that cos  θ=13

Q: Evaluate the expression tan cos 8 18 + tan 8 ¹()) . Give an exact answer.

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Q: Simplify cos[arctan( -). -12/13 5/13 12/13

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Q: 23п 23T 2) Evaluate cos 12 cos () + sin (") sin COS 12. 12 12 一

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Q: Find the exact value of 23л sin 30 17 237 17 COS + cos sin 30 30 30

A: Let's find.

Q: Use the figure to derive the formulas for sin COS and tan 2 sin (9) - COS tan (9) - 12 cos Ꮎ Ꮎ sin 0…

A: First, let us consider △ABC :Find its hypotenuse using the Pythagorean Theorem.AB2+BC2=AC2Substitute…

Q: 9) cos x = cos2x

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Q: 11) cos x csc X tan x - 1 11) 12) cos2x - sin2x = 1 - 2 sin²x 12)

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Q: What is 7(cos (pi/2) + i sin (pi/2)) divided by 8 (cos (3pi/4) + i sin (3pi/4)) equal to?

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Q: Prove that cos 4 5 + cos -1 12 13 = COS 33 65

A: We have to prove cos-145+cos-11213=cos-13365

Q: d da cos(3) = O-3 sin (3²) O 32.cos(3²) -3.sin(3²).In 3. O sin (3²) O3 cos(32).In 3

A: Given

Q: 15. Simplify the expression cos (r)+cos²(r) tan²(r); (hint: you may write the expression in terms of…

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Q: I don't understand this. This is for a practice guide, but I just don't understand this. Please type…

A: The objective of this question is to verify whether the given equation is a trigonometric identity.…

Q: Given cos 20= 3/4 and n < 0 < 3rt/2, find cos e 6. a) 7/8 b) -7/8 c) -V14/4 d) V14/4

A: given               cos2θ=34 and π&lt;θ&lt;3π2

Q: 1-tan20 = 1- 2sin?0 1+tan20

A: 1-tan2θ1+tan2θ=1-2sin2θ Formulas 1+tan2θ=sec2θ1-cos2θ=sin2θ 1secθ=cosθ

Q: Evaluate the following: 1) (1+ tan? 0) + iv1– sin? 6 2) (x + yi)? = 2 + 4i 3) (cos 20 – sin* 20) +…

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