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Which trigonometric ratios are correct for triangle ABC? Check all that apply

Which trigonometric ratios are correct for triangle ABC? Check all that apply-example-1
User Montri M
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2 votes
The correct answer on Edgeniuty is:
A) Sin (C)
C) Tan (C)
D) Sin (B)
User Sam Alex
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8.0k points
2 votes

Answer:
\sin C=\sin(60^(\circ))=(√(3))/(2)


\tan C=\tan(60^(\circ))=√(3)


\sin B=\sin(30^(\circ))=(1)/(2)

Explanation:

In the given triangle ABC

∠A = 90°

∠B= 30°

∠C= 60°

AC=9

BC=18

By using trigonometric function values for the given angles, we have

The value of
\sin C=\sin(60^(\circ))=(√(3))/(2)

The value of
\cos B=\cos(30^(\circ))=(√(3))/(2)\\eq(√(2))/(3)

The value of
\tan C=\tan(60^(\circ))=√(3)

The value of
\sin B=\sin(30^(\circ))=(1)/(2)

The value of
\tan B=\tan(30^(\circ))=(1)/(√(3))=(√(3))/(3)\\eq(2√(3))/(3)

Which trigonometric ratios are correct for triangle ABC? Check all that apply-example-1
User NeonDion
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