Question

if sin theta is equal to cos theta then find the value of 2 tan theta + cos square theta

Answer 1

hope this will help u......

Answer 2

Answer:

value of $2\ tan\theta+\cos^2 \theta$ is 2.5

Step-by-step explanation:

As per the statement:

if sin theta is equal to cos theta.

⇒$\sin \theta = \cos \theta$

Possible value of $\theta$ for which [1] satisfy is:

$\theta =45^{\circ}$

We have to find the value of $2\ tan\theta+\cos^2 \theta$:

Substitute $\theta =45^{\circ}$we get;

$2\ tan 45^{\circ}+\cos^2 45^{\circ}$

$=2(1)+(\frac{1}{\sqrt{2}})^2$

$=2+\frac{1}{2} = \frac{5}{2}=2.5$

Therefore, the value of $2\ tan\theta+\cos^2 \theta$ is 2.5