Question

Simplify the trigonometric expression. Show your work. 1/1+sin theta + 1/1-sin theta

Answer 1

Hello,

$\dfrac{1}{1+sin(\theta)} + \dfrac{1}{1-sin(\theta)} \\\\ \dfrac{1-sin(\theta) + 1+sin(\theta)} {1-sin^2(\theta) }}\\\\ = \dfrac{2} {cos^2(\theta)}$