Question:medium

If $\tan\theta$ and $\cot\theta$ are two distinct roots of the equation $ax^2+bx+c=0, a\neq0, b\neq0$, then

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When the roots of a quadratic equation are trigonometric functions of the same angle, use Vieta's formulas (sum and product of roots) and then simplify using trigonometric identities to find the relationship between the coefficients.

Updated On: Mar 30, 2026

$\cos 2\theta = -\frac{2b}{c}$
$\sin 2\theta = -\frac{2c}{b}$
$\tan 2\theta = \frac{2b}{c}$
$\cot 2\theta = \frac{2c}{a}$

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The Correct Option is B

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If $\tan\theta$ and $\cot\theta$ are two distinct roots of the equation $ax^2+bx+c=0, a\neq0, b\neq0$, then

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The Correct Option is B

Solution and Explanation

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