If sin x = cosec x = 2, then write the value of sin n x + cosec n x.

Question

Philoid · Accepted Answer

(Question might be different)

sin x+ cosec x = 2

⇒

⇒ sin²x +1 = 2sin x

⇒ sin²x - 2sin x+1 = 0

⇒ (sin x-1)²=0

⇒ sin x = 1

As sin x = 1

sinⁿx = 1

∴ sinⁿ x + cosecⁿx

⇒

⇒ 2.