Question

Triangle A B C is shown. Angle C A B is a right angle. Angle A B C is 30 degrees and angle B C A is 60 degrees. The length of A C is 9 and the length of hypotenuse C B is 18.
Which trigonometric ratios are correct for triangle ABC? Select three options.

sin(C) = StartFraction StartRoot 3 EndRoot Over 2 EndFraction
cos(B) = StartFraction StartRoot 2 EndRoot Over 3 EndFraction
tan(C) = StartRoot 3 EndRoot
sin(B) = One-half
tan(B) = StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction

Answer 1

Angles: A = 90°, B = 30°, C = 60°. Using standard values:

- sin(C) = sin(60°) = √3/2 — correct.
- tan(C) = tan(60°) = √3 — correct.
- sin(B) = sin(30°) = 1/2 — correct.

The other two options are incorrect.