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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