Prove the following identities:
$cos^{2} A (tan^{2} A + 1) = 1$

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Prove the following identities:

cos^{2} A (tan^{2} A + 1) = 1

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Text solutionVerified

Taking

L H S = cos^{2} A (tan^{2} A + 1)

= cos^{2} θ (sec^{2} θ) [∵ 1 + tan^{2} θ = sec^{2} θ]

= cos^{2} θ \times \frac{1}{cos ^{2} θ} = 1 = R H S [∵ cos θ = \frac{1}{sec θ}]

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Question Text	Prove the following identities: $cos^{2} A (tan^{2} A + 1) = 1$
Answer Type	Text solution:1
Upvotes	150