Respuesta :

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

Answer: [tex]\sin C=\sin(60^{\circ})=\frac{\sqrt{3}}{2}[/tex]

[tex]\tan C=\tan(60^{\circ})=\sqrt{3}[/tex]

[tex]\sin B=\sin(30^{\circ})=\frac{1}{2}[/tex]

Step-by-step 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 [tex]\sin C=\sin(60^{\circ})=\frac{\sqrt{3}}{2}[/tex]

The value of [tex]\cos B=\cos(30^{\circ})=\frac{\sqrt{3}}{2}\neq\frac{\sqrt{2}}{3}[/tex]

The value of [tex]\tan C=\tan(60^{\circ})=\sqrt{3}[/tex]

The value of [tex]\sin B=\sin(30^{\circ})=\frac{1}{2}[/tex]

The value of [tex]\tan B=\tan(30^{\circ})=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}\neq\frac{2\sqrt{3}}{3}[/tex]

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