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22 September, 23:46

If tan (theta) = 3/4 and theta is an acute angle, find cos (theta)

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  1. 23 September, 00:08
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    Sin t / cos t = 3 / 4

    4 sin t = 3 cos t

    sin t = 3 cos t / 4

    sin² t + cos² t = 1

    (3 cos t / 4) ² + cos² t = 1

    9 cos² t / 16 + cos² t = 1 / · 16

    9 cos² t + 16 cos² t = 16

    25 cos² t = 16

    cos ² t = 16/25

    Answer:

    cos t = 4 / 5
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