Act Math Practice
Trigonometry Answer 4
Trigonometry Answer 4:

4. Angles ÐA and ÐB each have measurements between 0° and 45°. If cos A = sin B, what is the sum of ÐA + ÐB ?

F. 15

G. 30

H. 45

J. 90

K. 180

The correct answer is J.

Remember these important trigonometric formulas:

cos A = sin (90°- A)

sin A = cos (90°- A)

If sin B = cos A, as in this problem, then B = 90° - A

So A + B = A + (90° - A)

A + B = A + 90° - A

A + B = A - A + 90

A + B = 90°

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