Question

Use basic identities to simplify the expression tan theta/sec theta

Answer 1

@jdoe0001

Answer 2

\(\bf tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}\qquad sec(\theta)=\cfrac{1}{cos(\theta)}\quad thus\quad
\\ \quad \\
\cfrac{tan(\theta)}{sec(\theta)}\implies \cfrac{\frac{sin(\theta)}{cos(\theta)}}{\frac{1}{cos(\theta)}}\)

so.. what would that give you?

Answer 3

sin theta?

Answer 4

@jdoe0001

Answer 5

yeap \(\bf \cfrac{tan(\theta)}{sec(\theta)}\implies \cfrac{\frac{sin(\theta)}{cos(\theta)}}{\frac{1}{cos(\theta)}}\implies \cfrac{sin(\theta)}{\cancel{ cos(\theta) }}\cdot \cfrac{\cancel{ cos(\theta) }}{1}\)