Question

find the principal solution of the following equation
(v) sin x + cos x =1/✓2​

Answer 1

Answer:

Step-by-step explanation:

Given that, sin x−cos x = √2

⇒ 1/√2 sin x - 1/√2 cos x = 1

sin 45° sin x - cos 45° cos x = 1

⇒ cos (x + π/4) = -1

⇒ cos (x + π/4) = cos

⇒ x + π/4 = 2nπ + π

⇒ x + π/4 = 2nπ + 3π/4