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Show that tan^4θ + tan^2θ = sec^4θ – sec^2θ - Mathematics

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Question

Show that tan4θ + tan2θ = sec4θ – sec2θ

Sum
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Solution

L.H.S. = tan4θ + tan2θ

= tan2θ (1 + tan2θ)

= tan2θ × sec2θ

= (sec2θ – 1) sec2θ

= sec4θ – sec2θ

= R.H.S.

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2019-2020 (March) Standard - Outside Delhi set 1
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