If sin x° = a, which of the following must be true for all values of x?
Correct answer: C. cos (90o - xo ) = a
- A. cos x° = a
- B. sin (90o - xo) = a
- C. cos (90o - xo ) = a
- D. sin (x2)° = a2
Explanation
Choice C is correct. The sine of an angle is equal to the cosine of the angle's complement. This relationship can be expressed by the equation sin x° = cos (90° − x°). Therefore, if sin x° = a, then cos (90° − x°) must also be equal to a.
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