Question

If \( \tan \text{A} = \frac{1}{\sqrt{x(x^2+x+1) \), \( \tan \text{B} = \frac{\sqrt{x}}{\sqrt{x^2+x+1}} \) and \( \tan \text{C} = \sqrt{x^{-1} + x^{-2} + x^{-3}} \) then}

• A. \( \text{A} + \text{B} = \text{C} \)
• B. \( A + B = 2C \)
• C. \( A + B = 3C \)
• D. \( A + B = 4C \)

Hint:

Look for common terms like \( \sqrt{x^2+x+1} \) to simplify complex algebraic trigonometric expressions.

Answer 1

The Correct Option is A