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9 June, 11:33

Cos X + 1 / cos X=40, find the value of cos square X + 1 / cos square X

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  1. 9 June, 14:10
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    This is pseudo-trig. It has a trig function but it's irrelevant.

    Let y = cos X

    y + 1/y = 40

    Squaring,

    y² + 2 (y) (1/y) + 1/y² = 1600

    y² + 2 + 1/y² = 1600

    y² + 1/y² = 1598

    cos² X + 1/cos²X = 1598

    Answer: 1598
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