Question

trigonometry solve step by step
$e ={ \sin(theta) - 2 \sin {}^{3} (theta) } \div (2 \cos {}^{3} (theta) - \cos(theta) )$

Answer 1

sin theta ( 1- 2 sin^2 theta)/cos the ta ( 2cos^2theta -1)
As cos 2theta = 1- 2 sin^2 theta
= 2 cos ^2 theta -1
so it's = tan theta