change sec^4 thetha -sec^2 thetha in terms of tan
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sec^4 € - sec^2 €
= (1 + tan^2€ )^2 - 1 + tan^2 €
= 1 + 2tan€ + tan^2€ - 1 + tan^2€
= 2tan € + 2tan^2€
= (1 + tan^2€ )^2 - 1 + tan^2 €
= 1 + 2tan€ + tan^2€ - 1 + tan^2€
= 2tan € + 2tan^2€
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sec^4 theatha - sec^2 theatha
(sec^2 theta)^2 - sec^2 theta
common sec^2 theta
sec^2 theta(sec^2 theta - 1)
sec^2 theta(tan^2 theta)
(1 + tan^2 theta)( tan^2 theta)
tan^4 theta + tan^2 theta
(sec^2 theta)^2 - sec^2 theta
common sec^2 theta
sec^2 theta(sec^2 theta - 1)
sec^2 theta(tan^2 theta)
(1 + tan^2 theta)( tan^2 theta)
tan^4 theta + tan^2 theta
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