Question

tan theta/sin 3theta/cos theta +sin theta cos theta​

Answer 1

Answer:

$1 + sin \: theta$

Step-by-step explanation:

we have given,

$\frac{tan \: theta}{ \frac{sin \: theta}{cos \: theta + sin \: theta \: cos \: theta} }$

$= tan \: theta \times \frac{1}{sin \: theta} \times (cos \: theta + sin \: theta \: cos \: theta)$

$= \frac{sin \: theta}{cos \: theta} \times \frac{1}{sin \: theta} \times cos \: theta(1 + sin \: theta)$

$= 1 + sin \: theta$