Question

If sin theta = cos theta .Find the value of 2 tan^2 theta+sin ^2 theta -1

Answer 1

3/2 is the answer.....

Answer 2

Answer: $\frac{3}{2}$

Step-by-step explanation:

Here,

$sin\theta = cos\theta$

$\implies \frac{sin\theta}{cos\theta}=1$

$\implies tan\theta = 1$

$\implies \theta = 45^{\circ}$

Now,

$2 tan^2 \theta+sin^2 \theta -1$

$=2 tan^2 45^{\circ}+ sin^2 45^{\circ} -1$

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

$=2+\frac{1}{2}-1$

$=\frac{4+1-2}{2}=\frac{3}{2}$