Help quickk its about functions

[user12user234]

Given that θ is an acute angle measured in radians and that cos θ = k, find, in
terms of k, an expression for:
a. sin θ
b. tan θ
c. cos(π − θ)
2) A function f is defined as f: x → −3 + 2 tan (1/2x) for 0 ≤ x ≤ π

I. State the range of f
II. State the exact value of f (2/3π)
III. Sketch the graph of y = f(x)
IV. Obtain an expression, in terms of x, for f^−1(x)

3) The function f: x → 5 + 3 cos (1/2x) is defined for 0 ≤ x ≤ 2π

I. Sketch the graph of y = f(x)
II. Explain why f has an inverse
III. Obtain an expression for f^−1(x)

 

[Deleted member 4993]

Given that θ is an acute angle measured in radians and that cos θ = k, find, in
terms of k, an expression for:
a. sin θ
b. tan θ
c. cos(π − θ)
2) A function f is defined as f: x → −3 + 2 tan (1/2x) for 0 ≤ x ≤ π

I. State the range of f
II. State the exact value of f (2/3π)
III. Sketch the graph of y = f(x)
IV. Obtain an expression, in terms of x, for f^−1(x)

3) The function f: x → 5 + 3 cos (1/2x) is defined for 0 ≤ x ≤ 2π

I. Sketch the graph of y = f(x)
II. Explain why f has an inverse
III. Obtain an expression for f^−1(x)

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