Question

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

Answer 1

Answer:

f(x) = cos(x)

Step-by-step explanation:

Given the expression

$tan(x)csc(c) = \frac{1}{f(x)}$

Recall that;

$tan(x) = \frac{sin(x)}{cos(x)} \\csc(x) = \frac{1}{sin(x)}$

Substitute into the given expression

$tan(x)csc(c) = \frac{1}{f(x)}\\\frac{sin(x)}{cos(x)} \frac{1}{sin(x)} = \frac{1}{f(x)}\\\frac{1}{cos(x)} = \frac{1}{f(x)}$

Cross multiply

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