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Solution of the equation $\cot^{- 1} x + \sin^{- 1} \frac{1}{\sqrt{5}} = \frac{π}{4} is$

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x = 3

x=15

x = 0

none of these

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detailed solution

Correct option is A

We have,cot−1⁡x+sin−1⁡15=π4 ⇒tan−1⁡1x+tan−1⁡1/51−15=π4⇒tan−1⁡1x+tan−1⁡12=tan−1⁡1 ⇒tan−1⁡1x=tan−1⁡1−tan−1⁡12⇒tan−1⁡1x=tan−1⁡1−121+1⋅12⇒tan−1⁡1x=tan−1⁡13⇒x=3

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Solution of the equation cot−1⁡x+sin−1⁡15=π4 is

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Solution of the equation $\cot^{- 1} x + \sin^{- 1} \frac{1}{\sqrt{5}} = \frac{π}{4} is$