Question

If θ and 2θ − 45° are acute angles such that sin θ = cos (2θ − 45°), then tan θ is equal to

(a) 1
(b) −1
(c) $\sqrt{3}$
(d) $\frac{1}{\sqrt{3}}$

Answer 1

Given that: and are acute angles

We have to find

Where and are acute angles

Since

Now

Put

Hence the correct option is