1. Write a simplified algebraic expression for sin(tan-12 x). 2. (a) tan(tan-1 x) = d - tan(x) = dx (b) Prove that 1+x? Use the following: 1) y = tanx is x = tan y (take derivative implicitly) 2) sec?x = tan?x + 1 (Pythagorean identities. We will use these a lot)

Q: True or false: For any constant C, d [tan(x) + C] = [sec(z)]²

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Q: Differentiate. f(x) = x cos(x) sin(x) (please write it out on paper)

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Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos² (a) COS sin (a)

A: (a) We have to express cos2α in terms of cos2α.

Q: 5. Simplify the expression: tan (csc (x)). Assume x is defined appropriately.

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Q: Cos 2x cos X-sin 2x sin x=radical 3/2. Use 0

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Q: Use the identities to find csc(x) and cos(x) if tan(x) =6 and cos(x)

A: Use the identities to find csc(x) and cos(x) if tan(x) =6 and cos(x)

Q: Find the exact value of each expression, if it is defined. (If an answer does not exist, enter DNE.)…

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Q: Describe the specific differences between the attributes of y=sin (x) and its reciprocal function…

A: Describe the specific differences between the attributes of y=sin (x) and its reciprocal function…

Q: 6. (a) Express cos (2 tan- ) (b) Express sin (2 cosx) as an algebraic expression in x. (c) Express…

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Q: 3. (error) For what values of x can you use sin x ≈ x- with an error less than 5 × 10-4?

A: The aim is to find the value of "x" so that it is used The expression of

Q: Simplify the expression. tan(sin 'x) a. . sin(tan-'x) a.

A: use pythagorean theorem and right angle triangle.

Q: Which of the expressions below are equivalent? Which are not? Explain. i. sin '(x) ii. csc(x) iii.…

A: It is known that sin-1x can also be written as arcsinx.

Q: True or false: For any constant C, d =[ tan(x) + C] = [sec(x)]² dx

A: The objective of the question is to verify whether the derivative of the function tan(x) + C equals…

Q: FIX) = sin(x+ cos x) -0.5=0 Find F(X), F(x)

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