Question

2cos^2theta -1/sin theta cos theta

Answer 1

Answer:

$\implies \: 2 \: tan2 \theta$

Step-by-step explanation:

$\implies \: \sf{ \frac{2 {cos}^{2} \theta - 1}{sin \theta \: cos \theta} } \\ \\ \because \sf{ 2 {cos}^{2} \theta = \: cos2 \theta} \\ \\ \implies \sf{ \frac{cos \: 2 \theta}{sin \theta \: cos \theta} } \\ \\ \implies \sf{ \frac{2cos2 \theta}{2sin \theta \: cos \theta} } \\ \\ \implies \sf{2 \: tan2 \theta}$