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Choose the correct option.
The trigonometric equation tan⁻¹ x = 3tan⁻¹ a has solution for
The trigonometric equation $\tan^{-1} x = 3\tan^{-1} a$ has solution for
- (a)$|a| \le \frac{1}{\sqrt{3}}$
- (b)$|a| > \frac{1}{\sqrt{3}}$
- (c)$|a| < \frac{1}{\sqrt{3}}$
- (d)all real value of a.
Answer
Answer
Official answer keyCorrect option: (c)
(c) $|a| < \frac{1}{\sqrt{3}}$