Question

Use identities to express the following in terms of sine and cose and then simplify your answer.

tan/sec

Answer 1

`\cfrac{tan(\theta )}{sec(\theta )}\implies \cfrac{~~ (sin(\theta ) )/(cos(\theta ) ) ~~}{(1)/(cos(\theta ))}\implies \cfrac{sin(\theta ) }{~~\begin{matrix} cos(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} cos(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{1}\implies sin(\theta )`