Trigonometric Equations Question 274

Question: In $ \Delta ,ABC $ , $ a=2cm,b=3cm $ and $ c=4cm $ , then angle A is

[MNR 1973; MP PET 1984, 2002]

Options:

A) $ {{\cos }^{-1}}( \frac{1}{24} ) $

B) $ {{\cos }^{-1}}( \frac{11}{16} ) $

C) $ {{\cos }^{-1}}( \frac{7}{8} ) $

D) $ {{\cos }^{-1}}( -\frac{1}{4} ) $

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Answer:

Correct Answer: B

Solution:

  • Use $ \cos A=\frac{b^{2}+c^{2}-a^{2}}{2bc} $ .