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17 September, 10:32

What is the value of x? sin (x+16) °=cos (2x+14) °

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  1. 17 September, 10:58
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    Hello:

    by identity:

    sin (x) ° = cos (90-x) °

    solve : sin (x+16) °=cos (2x+14) °

    cos (90 - (x+16)) ° = cos (2x+14) °

    cos (74-x) ° = cos (2x+14) °

    74-x = 2x+14+360k ... (1)

    or

    74-x = - (2x+14) + 360k' ... (2)

    find x with (1) and (2)
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