sin (+) can be expanded to: π TT O sin COS sin sin 4 7 TT O sin sin COS cos 4 T Osin COS + cos sin मम COS + cos cos 4 K/4 T π π

Q: 2 v sec 2 1+ cos 0°

A: We have to find the identity

Q: #25

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Q: B)Prove (cose + i sine)" = cosne + i sin ne

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Q: sin 2t Cos 2t I) sec t = 1) sin t COs t

A:

Q: sin(sin? 3.

A: Answer

Q: Prove the following: 1+2sin cos sino + cose = sin 0+ cos 0

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Q: Evaluate S cos ve Vē sin? ve

A: consider I=∫cosθθ sin2θdθto solve the itegral we can use method ofsubstitution

Q: Verify the identity. (sec ² 0+1) (- sin² 0+1) = 2-sin ²0 20 rch Which of the following four…

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Q: 2) cos² I 6 F/6 sin2 T

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Q: B)Prove (cose + i sine)" = cosno + i sin no

A:

Q: snip

A: sin4θ=sin2θ2=1-cos2θ22=141+cos22θ-2cos2θ=141+1+cos4θ2-2cos2θ=14+1+cos4θ8-12cos2θ=14+18+18cos4θ-12cos…

Q: What is one solution to the trigonometric equation sinx – cos2x – 1 = 0 in the interval [0, 2ㅠ]? ㅇㅠ…

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Q: Sin e + cos 0 sin g-cos 0 sing +cose sing- cos e 1-cos?0 1.

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Q: If sin z + cos I 2, then the value of sin" r+ cos" z will be-

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Q: 14) sin- 1 2 /-

A: 14. let x=sin-1(12)     x=π6                    (∵ sin(π6) = 12)

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

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Q: Verify the identity. cos 7x- cos 9x tan 8x sin 7x- sin 9x Statomont

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Q: sin0+cosØ secф+csc® + secф—csc@ sin0-cosØ

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Q: Is 1 sin u sec u TRUE for all values of u? - COs³ U 1 + sin u

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Q: Sin (% %3D cos(oT) Sin (T+u) = cosu () asi

A: Solution Let for some angle A & B, the  identity Sin(A+B)=sin(A)*cos(B)+sin(B)*cos(A)…

Q: Cos ax COs ax Q: Prove that dx = ze", a 2 0.(or) Evaluate x² +1 x² +1

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Q: 1 minus the fraction of cos squared theta/ 1 plus sin of theta

A: Use Pythagorean identity sin^2 theta + cos^2 theta=1  This gives, cos^2 theta = 1 - sin^2 theta

Q: VERIFY THE IDENTITIES

A: To verify

Q: Verify the identity: (1 - cos t)/(1 + cos t) = (csc t - cot t)2

A: Given: 1-cost1+cost=csc t-cot t2