geometry (please help)

Question

If  sin Θ = cos 23°, Θ = ?

Answer 1

sin67° = cos23°. Draw a picture of a right angle with acute angles whose measures are 23° and 67° to make sense of this fact.

The 2 angles are complements (they sum to 90°).

In fact, many math teachers fail to mention that cosine is short for complementarysine (that's what the "co" stands for). Thus, the sine of any angle = the cosine of that angle's complement.

Answer 2

Θ = 67°

Sine and cosine are equal for complimentary angles (angles that sum to 90°)