Question

If for real values of \( x \), \( \cos \theta = x + \frac{1}{x} \), then x is

• A. \( \theta \) is an obtuse angle
• B. No value of \( \theta \) is possible
• C. \( \theta \) is a right angle
• D. \( \theta \) is an acute angle

Hint:

When solving for values of \( \theta \) based on trigonometric equations, always check the range of the function (in this case, \( \cos \theta \)) and compare it with the range of the given expression.

Answer 1

The Correct Option is B