Highly selective Backlog Qs for JEE MainMathematicsTrigonometric Ratios & Identities
The general solution of sin ⁡ x = cos ⁡ x is (when n ∈ I ) given by
Options
- An π + π 4
- B2 n π ± π 4
- Cn π ± π 4
- Dn π - π 4
Correct answer
B. 2 n π ± π 4
Step-by-step solution
Given, sin x = cos x ∴ sin 2 x = cos 2 x ⇒ 2 cos 2 x = 1 ⇒ cos x = + 1 2 [ ∵ cos x c a n n o t b e n e g a t i v e ] ⇒ x = 2 n π ± π 4