Question

$sin\theta =cos\theta$

find $2tan\theta +co{s}^2\theta$

Answer 1

Consider the given equation and expression,

$\sin \theta =\cos \theta$ ……(1) and $2\tan \theta +{\cos }^2\theta$ …..(2)

Now, from equation (2),

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

$\Rightarrow 2.\frac{\sin \theta }{\cos \theta }+{\cos }^2\theta$

From equation (1),

$\Rightarrow 2.\frac{\cos \theta }{\cos \theta }+{\cos }^2\theta$

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

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

Hence, this is the answer.