Question

If sin theta =cos theta then value of theta is

Answer 1

square both sides
sin2theta=cos2theta
sin2theta=1-sin2theta
2sin2theta=1
sin2theta=1/2
sintheta=1/✓2. Therefore, theta=45°

Answer 2

We know that,

sin45 =

$\frac{1}{ \sqrt{2} }$

And cos45 =

$\frac{1}{ \sqrt{2} }$

Therefore,

sin45 = cos45

Or

sin(Theta)= cos (theta)

for theta = 45 degree.