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7 June, 11:55

Let 0 be an angle such that cot 0 = - 4/7 and sec 0 >0.

Find the exact values of cos 0 and csc 0.

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  1. 7 June, 12:16
    0
    Cos 0 = 4/sqrt (65)

    Cosec 0 = - sqrt (65) / 7

    Step-by-step explanation:

    Cot 0 = - 4/7

    Tan 0 = - 7/4

    1 + Tan²0 = sec²0

    1 + 49/16 = 65/16 = sec²0

    Sec 0 = sqrt (65) / 4

    Cos 0 = 1 : sec 0

    Cos 0 = 4/sqrt (65) or 4sqrt (65) / 65

    Cosec 0 = cot 0 * sec 0

    = - 4/7 * sqrt (65) / 4

    = - sqrt (65) / 7
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