Question

prove that (sin^4A - cos^4A+1)coses^2A=2.

Answer 1

Heya User,

--> [ ( cosec⁴ x - cot⁴ x ) + 1 ] / cosec²x 
 =  [ ( cosec² x + cot² x )( cosec² x - cot²x ) + 1 ] / cosec² x
 = [ cosec² x + cot²x + 1 ] / cosec² x 
 = [ 2 cosec² x ] / cosec² x
 = 2 √√

=> [ ( cosec⁴ x - cot⁴ x ) + 1 ] / cosec²x  = 2 √√

Answer 2

hope this will help you