Prove the following identities: 2cos^2 theta * (1 + tan^2 theta) = 2
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Step-by-step explanation:
take LHS and put formula of 1+tan^2A=sec^2A
then break sec^2A
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Step-by-step explanation:
2 cos^2 theta (1 + tan^2 theta)
=2 cos^2 theta [1 + (sin^2 theta / cos^2 theta)]
=2 cos^2 theta [ (cos^2 theta + sin^2 theta ) / cos^2 theta ]
=2 * 1
= 2
Hence , proved.
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