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Prove that (1+ tan^4 theta)/(1+ tan^2 th...

Prove that `(1+ tan^4 theta)/(1+ tan^2 theta) = sec ^2 theta-2 sin^2theta`

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Explore conceptually related problems

Prove that : (1 - tan^(2) theta)/(1 + tan^(2) theta) = cos^(2) theta - sin^(2) theta

Prove that (1 - tan^(2) theta)/(1 + tan^(2) theta) = cos^(2) - sin^(2) theta

Knowledge Check

  • If (1 - tan theta) ( 1 + tan theta)sec^2 theta + 2^(tan^2theta) = 0

    A
    `pi//4`
    B
    `-pi//4`
    C
    `pi//3`
    D
    `-pi//3`
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