Trigonometric Equations Question 221

Question: In $ \Delta ABC $ , if $ a=3,b=4,c=5 $ , then $ \sin 2B= $

[MP PET 1983]

Options:

A) 4/5

B) 3/20

C) 24/25

D) 1/50

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ \cos B=\frac{9+25-16}{2.3.5}=\frac{18}{2.3.5}=\frac{3}{5}\Rightarrow \sin B=\frac{4}{5} $ Therefore $ \sin 2B=2.\frac{4}{5}.\frac{3}{5}=\frac{24}{25} $ .