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trig

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{tan^2x(1+cot^2x)} is equal to{1 divided by 1-sin^2x}

  • trig -

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

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