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If sinx is approximately 0.2588, what is the measurement of x to the nearest degree? Approximately, what is the cosine of the angle that is complementary to x?

 Apr 25, 2016
 #1
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x = sin-1(0.2588) ≈ 15°

 

The cosine of the complementary angle to x is always equal to the sine of x.  (Complementary angles sum to 90°).

 Apr 25, 2016
 #2
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To clarify:    cos(90° - x) = sin(x)

.

 Apr 25, 2016

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