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if sin^4 theta + sin^2 theta =1 . then prove that : 1/ tan^4 theta + 1/tan^2 theta = 1

if sin^4 theta + sin^2 theta =1 . then prove that :
1/ tan^4 theta  +  1/tan^2 theta = 1
 

Grade:11

1 Answers

Arun
25750 Points
4 years ago
 
Dividing the given equation by cos^4 theta we get,
 
tan^4 theta + (tan^2 theta) x (sec^2 theta) = sec^4 theta 
 
changing sec into tan by formula
sec^2 theta = 1+ tan^2 theta
 
we get the answer 1

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