Trigonometric Equations Question 332

Question: If $ {{\sec }^{2}}\theta =\frac{4}{3} $ , then the general value of $ \theta $ is

[MP PET 1988]

Options:

A) $ 2n\pi \pm \frac{\pi }{6} $

B) $ n\pi \pm \frac{\pi }{6} $

C) $ 2n\pi \pm \frac{\pi }{3} $

D) $ n\pi \pm \frac{\pi }{3} $

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Answer:

Correct Answer: B

Solution:

  • $ {{\cos }^{2}}\theta =\frac{3}{4}={{\cos }^{2}}( \frac{\pi }{6} )\Rightarrow \theta =n\pi \pm \frac{\pi }{6} $ .