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25 January, 19:51

Find the value of x that satisfies the identity cos (x+30) = sin (x)

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  1. 25 January, 20:59
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    x = 30

    Step-by-step explanation:

    Using the cofunction identity

    cos x° = sin (90 - x) °

    Given

    cos (x + 30) ° = sin x°, then

    x + 30 = 90 - x (add x to both sides)

    2x + 30 = 90 (subtract 30 from both sides)

    2x = 60 (divide both sides by 2)

    x = 30
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