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Math Help - Convert (cos(x)^2) + (sin(x)^2) = 1 into 1 + (tan(x)^2) = (sec(x)^2)

  1. #1
    TLH
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    Convert (cos(x)^2) + (sin(x)^2) = 1 into 1 + (tan(x)^2) = (sec(x)^2)

    I need to transform the equation (cos(x)^2) + (sin(x)^2) = 1 into 1 + (tan(x)^2) = (sec(x)^2). This was written as though it were through a TI83 calculator.
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  2. #2
    Super Member Quacky's Avatar
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    Re: Convert (cos(x)^2) + (sin(x)^2) = 1 into 1 + (tan(x)^2) = (sec(x)^2)

    Divide both sides by cos^2(x)
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  3. #3
    TLH
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    Re: Convert (cos(x)^2) + (sin(x)^2) = 1 into 1 + (tan(x)^2) = (sec(x)^2)

    1/(cos(x)^2) would equal (sec(x)^2), correct? Or would the numerator have to be a 2?
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  4. #4
    Super Member Quacky's Avatar
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    Re: Convert (cos(x)^2) + (sin(x)^2) = 1 into 1 + (tan(x)^2) = (sec(x)^2)

    \frac{1}{cos^2{x}}=sec^2{x}
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