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6 March, 15:58

Solve the equation sin (xº - 20°) = cos (42") for x, where 0

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  1. 6 March, 17:28
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    x = 68°

    Step-by-step explanation:

    Using the cofunction identity

    cos x° = sin (90 - x) °, then

    cos42° = sin (90 - 42) ° = sin48°

    Given

    sin (x - 20) ° = cos42°, then

    sin (x - 20) ° = sin48°, thus

    x - 20 = 48 (add 20 to both sides)

    x = 68
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