Trigonometric Equations Question 208

Question: In triangle ABC, $ A=30^{o},b=8,a=6 $ , then $ B={{\sin }^{-1}}x $ , where x =

[Karnataka CET 1990]

Options:

A) $ \frac{1}{2} $

B) $ \frac{1}{3} $

C) $ \frac{2}{3} $

D) 1

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Answer:

Correct Answer: C

Solution:

  • $ \frac{\sin B}{b}=\frac{\sin A}{a} $
    Þ $ \sin B=\frac{b\sin A}{a}=\frac{8\sin 30^{o}}{6}=\frac{2}{3} $ .