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: Evaluate / 4 x cos(x)dx Ox sin(x) – 4 cos(x) + c 04 sin(x) + 4 x cos(x) + c 04 (x sin(x) + cos(x)) +…

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Q: Prove the following identities: tan(v) + cot(v) (a) sec(v) csc(v) 1- sin(0) (b) cos(0) 1 SE cos(8)…

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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: 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: What is the rule of a function of the form f (a) = a sin(br +c) +d or f (x) = a cos(br + c) +d whose…

A: We are asked to find the equation of the graph.

Q: Let f(x) = sin(z), g(x) = 1 – , then (go f)(z)= Select one: O a. sin? (x) O b. sin(1)(1 – r²) O…

A: Option c is correct.

Q: f(æ) sin(x) T Given f 5 and f' 6. Also let g(x) f(x)cos(x) and h(x) Answe the following: T a) g' ()…

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Q: Which of the following equations does not hold for all values of x and y? cos(r + y) = cos(x) cos(y)…

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Q: a dx = 1+ sin(ax) Select one: a. tan(ax) – sec(az) + C b. ax + In | csc(az) – cot(az)| + C c. In |1+…

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Q: Evaluate f æ° sin (ax²) dx оа. sin (az²) 2a2 z cos (az?) 2a +C b. sin (az?) 2a2 sin (az²) z cos…

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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: 2) Proof that If y = f(x) = = cos x then dx sin x

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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: (9) If sin(A) = /2, sin(B) = - ½, "/½ < A < r, and n < B < 3*/2, find cos(A + B) (A) 0 (B) /2 (С) —…

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Q: State the sum and difference formulas for the cosine. cos (x + y) = cos (x) cos (y) - sin (y) sin(x)…

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Q: 6. (a) 2 cos?t (b) 3 sin 2x

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Q: 2x sin-1(x²)dx =

A: This question is taken from the indefinite integral in which we have to choose the correct option…

Q: Compute | a° sin(æ" + 2) dæ.

A: Given : ∫x6sinx7+2dx

Q: The simplified form of cos²(x) sin(x) + sin(1) is: Select one: a. sin(x) b. None of these c. cos(x)…

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Q: n/4 1+sin x 7. So cos (x)

A: We will solve the following.

Q: Fill in the blanks: 1. If tan z = 2.5 then tan(-x) = 2. If sin x = 0.1 then sin(-x) = 3. If cos x =…

A: 1. tanx = 2.52. sinx = 0.13. cosx = 0.8 To determine: The values of tan-x, sin-x and cos-x for (1),…

Q: 4. sin 2x cos 2x dx

A: Here we integrate the given function.

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) -&gt; Red graph g(x) -&gt; green graph