Question

In terms of sine and cosine: tanθ/secθ=sinθ

Answer 1

Break the tan into sin/cos and sec into 1/cos. you then have (sin/cos)(1/cos). to divide, you multiply by the reciprocal -> sin/cos * cos/1. You can cross cancel the cos, leaving sin/1, which is sin.

Answer 2

\[\huge {\color{blue} {\frac{Sinθ} {Cosθ} \div \frac{1}{Cosθ}=Sinθ} }\]
\[\huge {\color{blue} {\frac{Sinθ} {Cosθ} \times \frac{Cosθ}{1}=Sinθ} }\]
\(\huge {\color{red} {Cancel} }\) \(\huge {\color{red} {out} }\) \(\huge {\color{red} {Cosθ} }\)