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Anonymous
Anonymous asked in Science & MathematicsMathematics · 4 years ago

Prove the identity: sec^2 x - sec2 x sin^2 x = 1?

Pls, help.

2 Answers

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  • Iggy Rocko
    Lv 7
    4 years ago

    Assuming sec2x should be sec^2x,

    sec^2x - sec^2x sin^2x =

    sec^2x(1 - sin^2x) =

    sec^2x cos^2x =

    1

  • Anonymous
    4 years ago

    sec²(x) - sec²sin²(x)

    = sec²(x)(1-sin²(x))

    = sec²(x).cos²(x)

    = 1

    As stated the expression is inaccurate

    If x=pi/4

    sec(x) = sqrt(2)

    sin(x) = 1/sqrt(x)

    sec(2x) is undefined

    LHS ≠ RHS

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