Answer to Question #4615 in Trigonometry for pratyush

Question

if cot b =12/5,then proof tan^2 b-sin^2b=sin^4b sec^b

Answer 1

cot b=12/5
tan^2 b – sin^2 b=sin^4 b * sec^4 b
sec^4 b = 1/cos^4 b
tan^2 b – sin ^2 b= tan^4 b
1/cot^2 b – sin ^2 b= 1/cot^4 b
sin^2 b=25/144-625/20736=2975/20736
625/20736=625/20736