16Hit1600
Geometry and TrigonometryVery hardSine of the complement

Geometry and Trigonometry practice question

Angles A and B are the two acute angles of a right triangle, and sin A = 5/13. What is the value of sin B?

Answer: 12/13

sin B = cos A, and cos A = √(1 − 25/169) = 12/13.

Common wrong answers

If you answered 5/13
5/13 is sin A, not sin B.
If you answered 8/13
8/13 subtracts 5 from 13.
If you answered 13/12
13/12 inverts the ratio.

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