Question

Write f(x) in terms of sin(x) and cos(x).

Answer 1

f(x) = cos(x)

Explanation:

Given the expression

`tan(x)csc(c) = (1)/(f(x))`

Recall that;

`tan(x) = (sin(x))/(cos(x)) \\csc(x) = (1)/(sin(x)) \\`

Substitute into the given expression

`tan(x)csc(c) = (1)/(f(x))\\(sin(x))/(cos(x)) (1)/(sin(x)) = (1)/(f(x))\\(1)/(cos(x)) = (1)/(f(x))`

Cross multiply

`cos(x) = f(x)\\Swap\\f(x) = cos(x)`