Complete the identity sin2 x sin2 x cot2 x A 1 B cot2 x

Complete the identity. sin^2 x + sin^2 x cot^2 x = ? (A) 1 (B) cot^2 x + 1 (C) cot^2 x - 1 (D) sin^2 x + 1

Solution

Solution:

sin²x + sin²x * cot²x

= sin²x + sin²x * (cos²x/sin²x) ... ( cotA = cosA/sinA )

= sin²x + cos²x

= 1

Answer: (A) : 1 is correct