Question

Perform the transformation. Write secx in terms of sinx.

Answer 1

To write secx in terms of sinx, use the identity secx = 1/cosx. Substitute cosx with sqrt(1 - sin^2x) and simplify to get secx = 1/(sqrt(1 - sin^2x)).

Step-by-step explanation:

To write secx in terms of sinx, we can use the identity secx = 1/cosx. Using the Pythagorean identity sin^2x + cos^2x = 1, we can express cosx in terms of sinx as cosx = sqrt(1 - sin^2x). Substituting this expression into secx = 1/cosx, we get secx = 1/(sqrt(1 - sin^2x)).