Question

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

Answer 1

The correct answer on Edgeniuty is:
A) Sin (C)
C) Tan (C)
D) Sin (B)

Answer 2

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)`