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Math

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Trigonometry Identities problem:

Prove the following;

(tan^2x)(cos^2x)
=
(sec^2x - 1)(1-sin^4x) ÷ (1+sin^2x)

  • Math - ,

    remember :
    1 + tan^2x = sec^x and 1-sin^2x = cos^2 from the Pythagorean identities, so

    RS = tan^2x(1-sin^2x)(1+sin^2)/(1+sin^2x)
    = tan^2x(1-sin^2x)
    = tan^2x cos^2x
    = LS

  • Math - ,

    Okay I was confused about what to do with the power of 4..
    Thank You!!

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