5. Prove the following identities: (a) cos (x +) + sin (x = 0 6. sin(x – y) cos(x) cos(y) (c) cos*(x) – sin*(x) = cos(2x) cos ( x + 3 (b) tan(x) – tan(y) 4 1+ sin(2x) (d) sin(2r) 1 = 1+ sec(x) csc(x) 2

Q: Calculate cos(x) cos(y) + sin(r) sin(y) if x - y = 1. 동 0-호 ㅇ를

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Q: Consider the following. cos(x + y) cos(x - y) = cos(x) - sin²(y) Prove the identity. - sin(x)…

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Q: e (a) S sin* x dx

A: Apply reduction formula:∫sinnx dx = n-1n∫sinn-2(x)dx - cosx. sinn-1(x)nwith n=4∫sin4x dx =…

Q: sin 2x 10. Simplify 1-cos x (a) 2cot x (1+ cos x) (b) sin 2x (1 + cos x) (c) sin 2x (d) – 2 tan x (1…

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Q: Find where z = sin (x²) cos (y) COS © 6.x sin (x²) cos (y²) COS 2.x sin (2²) 2x cos 2.x sin (x²) cos…

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Q: Evaluate sin(x) 1+cos(x) -dx

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Q: 3 sin a If f(x) –, then 2+ cos x 3+ 6 cos(x) (2+ cos (z))² f'(x) = f'(5) =

A: For part (b) just put 5 in place of x in the expression of part (a).

Q: prove the following identities: cos² (y) - sin² (y) 1 - tan² (y) = cos² (y).

A: according to bartleby guide line we do only first part of multiple questions prove…

Q: (cos(2x) – sin(2x)cos(2x)) cos(x) – sin(x) For -dx=-F(x) + C. What is F (x)? 3 A (csc(x) – sec(x))3…

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Q: Evaluate / 3 x sin(x)dx 03 (sin(x) – x cos(x)) + c Osin(x) – x cos(x) + c 03 x sin(x) + 3 cos(x) + c…

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Q: cos(x1)=-1/3 sin(x2)=2/3 find 1. sin(x1+x2) 2. cos(x1+x2) 3.sin(x1-x2) 4.cos(x1-x2)

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Q: 2sin(x)cos(x) = sin2x Is it a legitimate operation to divide all x's by 2 to get:…

A: Solution, The general formula for this trigonometric expression is -  Sin(2x)= 2sin(x)cos(x)   Here…

Q: 3 sin(0) = 8. find cot(0)

A: We will use trigonometric identity Sin2(x)+cos2(x)=1.

Q: ( (cos(2r) – sin(2x)cos(2x)) -dx =. For +C. What is F (x)? cos(x) – sin(x)

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Q: e of mwl

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Q: If g(x) = 3 sin x + 2 cos x + 5, then g' (3) = A B 12/3-√3 - 3/2+√3

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Q: 1. cos x 1 - sin x = sec x + tan x

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Q: a sin (cos X) b cos (cos x) c sin (sin x) d cos (sin x) a By expressingy = x in the form y = sin…

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Q: c) Use graphing technology to graph both f(x) & g(x). Can we conclude that: tan (x+1) CSC X = sin x…

A: f(x) -> Red graph g(x) -> green graph

Q: Use De Moivre's theorem to prove the identities (i) sin(40) = 4(sin(0) cos (0) – sin° (0) cos(0))…

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Q: 7. Verify algebraically cos(0) sec(0) + sin(0) csc (0) = 1.

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