Question

If $sin\theta =cos\theta$ , then find the value of $2tan\theta +co{s}^2\theta$

Answer 1

$\sin \theta =\cos \theta$

$\theta =\frac{\pi }{4},\frac{5\pi }{4}$

$2\tan \theta +{\cos }^2\theta$

$=2\left(1\right)+\frac{1}{2}$

$=\frac{5}{2}$.