Question

If ${\theta }_1,{\theta }_2$ and ${\theta }_3$ are the three values of $\theta \in [0,2\pi ]$ for which $\tan \theta =\lambda$ then the value of $\tan \frac{{\theta }_1}{3}\tan \frac{{\theta }_2}{3}+\tan \frac{{\theta }_2}{3}\tan \frac{{\theta }_3}{3}+\tan \frac{{\theta }_3}{3}\tan \frac{{\theta }_1}{3}$ is equal to ( $\lambda$ is a constant)

• A. -3
• B. -2
• C. 2
• D. 3

Answer 1

Answer: (A)

Correct answer is (a) -3