Question

if sin theta =2 cos theta and 3 tan theta =4 sin theta find the value of theta.

Answer 1

Step-by-step explanation:

$\sin( \alpha ) = 2 \cos( \alpha ) \\ \\ 3 \tan( \alpha) = 4 \sin( \alpha )$

$3 \sin( \alpha ) \div 3 \cos( \alpha ) = 4 \sin( \alpha ) \\ \sin( \alpha ) \times 3 \cos( \alpha ) = 1$

$2 \cos( \alpha ) \times 3 \cos( \alpha ) = 1$

Because eq 1

cos theta =1/5