Question

Sin θ = Cos θ then θ = 

A) 30° 

B) 45° 

C) 60° 

D) 90°

Answer 1

Correct option is: B) 45°

Given that

Sin \(\theta\) = Cos \(\theta\) 

= \(\frac {sin\, \theta}{cos\, \theta} = 1\) (On dividing both sides by cos \(\theta\) )

= tan \(\theta\) = 1 = tan \(45^\circ\) (\(\because\) tan \(45^\circ\) = 1)

= \(\theta\) = \(45^\circ\)

Answer 2

Correct option is: B) 45°