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26 December, 22:30

Given cos q = - 1/5 and tan q> 0, find sin q

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  1. 26 December, 23:15
    0
    cos (q) = ⁻¹/₅

    cos⁻¹[cos (q) ] = cos⁻¹ (⁻¹/₅)

    q ≈ 1.54

    tan (q) > 0

    tan⁻¹[tan (q) ] > tan⁻¹ (0)

    q > 0

    tan (1.54) > 0

    0.03 > 0

    sin (q) = sin (1.54)

    sin (q) ≈ 0.03

    Since tan (1.54) is equal to sin (1.54), they are both greater than zero.
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