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Souvik
Lv 4
Souvik asked in Science & MathematicsMathematics · 4 years ago

What are the ranges of sec^(2)x, cosec^(2)x, tan^(2)x and cot^(2)x?

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  • Learner
    Lv 7
    4 years ago

    secant and cosecant functions have no values in (-1, 1)

    So square of these can't have values in [0, 1)

    Thus range of both sec²x and csc²x lies in [1, ∞)

    tan and cot functions both have range in (-∞, ∞)

    So range of the squared functions, tan²x and cot²x lies in [0, ∞)

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