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11 January, 22:17

Which of these equations is always true?

sin (x) = cos (x)

sin (x) = cos (90°-x)

sin (x) = cos (180°-X)

sin (x) = cos (360° - x)

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  1. 11 January, 23:40
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    sin (x) = cos (90°-x)

    Step-by-step explanation:

    Looking at the graphs of sin (x) and cos (x), you can see that the peaks of the graph are separated by a value of pi/2. If you convert that value into degrees, then the two graphs are separated by 90°. Another way of thinking is from the unit circle. sin (x) = 1 at 90°, and cos (x) = 1 at 0°. The difference is still 90°
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