Answer:

OPTION (3) = 30°

Step-by-step explanation:

Solving the denominator only

Cosec ^2 X --Cot^2 X

= 1/ sin^2 X -- cos^2 X /sin ^2 X

= 1---cos ^2 X / sin ^2 X (taking LCM)

= sin^2 X / sin^2 X (1---cos^2X = sin ^2X)

= 1

Hence cos^2 X = 3/4

cos X = √3/2

Hence X = 30°

OPTION (3)