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​Q. if sin^4 theta + sin^2 theta = 1, then find the value of tan^4 theta – tan^2 theta.

​Q. if sin^4 theta + sin^2 theta = 1, then find  the value of tan^4 theta – tan^2 theta.

Grade:11

1 Answers

Vipul
13 Points
5 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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