The value of $\frac{3\left(1-2 \sin ^2 x\right)}{\cos ^2 x-\sin ^2 x}$ is:
Answer & explanation
Correct answer: option 2
$\frac{3\left(1-2 \sin ^2 x\right)}{\cos ^2 x-\sin ^2 x}$
= \(\frac{3 ( 1 - 2sin²x )}{cos²x - sin²x}\)
= \(\frac{3 ( 1 - sin²x - sin²x)}{cos²x - sin²x}\)
{ sin²A + cos²A = 1 }
= \(\frac{3 ( cos²x - sin²x)}{cos²x - sin²x}\)
= 3