Problem 2. (a) Simplify the expression cos(arctan x), x > 0.

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A:

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Q: If sin(A) = 0.39 and cos(A) < 0, determine: cos(A) = sin(2A) = cos(2A) = tan(2A) = The quadrant for…

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Q: 2. Without using a calculator, find the exact value of each: i. sin-¹ (sin()) = ii.cos-¹(cos(¹)) =…

A: The given data is: i.   sin-1sin5π4  Without using calculator, find the exact value.

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A: Given,secy=305siny = ?tany = ?

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Q: / [sec-(x) – csc²(x)]dr Evaluate: A e (x) - c«°(x) + C sec an(x) – cot(x) +C B esc (x) + sec³(x) + C…

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Q: if g- Sin (cos 8x) Find y NP

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

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Q: sin(3r) dr.

A: Given integral is,

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A: This question is related to comparison of trigonometry function.

Q: a. y= 3(x³+4) b. y= cos-1(-3x)

A: we have to find dy/dx for given y

Q: 4. Find the exact value without the use of a calculator. Show all steps. (a) cos(45') cos(15') –…

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Q: Solve the equation for exact solutions over the interval [0, 2n). sec²x - 2 = tan²x

A: Given :sec2x-2=tan2x