Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionsIdentities, eqations and inequations involving ITFMedium2 min

MathematicsMediumsingle choice

Solution of $3 (cot^{- 1} x)^{2} - 43 cot^{- 1} x + 3 > 0$ is

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Answer:

Solution:

Let $cot^{- 1} x = t$ $3 t^{2} - h 3 t + 3 > 0$ $(t - 3) (t - \frac{1}{3}) > 0$ $t \in (- \infty, \frac{1}{3}) \cup (3, \infty)$ but $t \in (0, π)$ $∴ t \in (0, \frac{1}{3}) \cup (3, π)$ $cot^{- 1} x \in (0, \frac{1}{3}) \cup (3, π)$ $x \in (- \infty, cot 3) \cup (cot \frac{1}{3}, \infty)$

Stream:JEESubject:MathematicsTopic:Inverse Trigonometric FunctionsSubtopic:Identities, eqations and inequations involving ITF

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