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If cos^(-1)x + cot^(-1) (1/2) = pi/2 th...

If `cos^(-1)x + cot^(-1) (1/2) = pi/2 ` then x is equal to

A

`1/2`

B

`1/(sqrt(5))`

C

`(2)/(sqrt(5))`

D

`(sqrt(3))/(2)`

Text Solution

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The correct Answer is:
B
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FULL MARKS-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE -4.6
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  11. If the function f(x)=sin^(-1)(x^(2)-3)" then "x belongs to

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  12. If cot^(-1)2andcot^(-1)3 are two anges of a triangle, then the third a...

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  15. If cot^(-1)(sqrt(sinalpha))+tan^(-1)(sqrt(sinalpha))=u,"then"cos2u"is ...

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  17. The equation tan^(-1)x-cot^(-1)x=tan^(-1)((1)/(sqrt(3))) has

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  18. If cos^(-1)x + cot^(-1) (1/2) = pi/2 then x is equal to

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  20. sin(tan^(-1)x)absxlt1 is equal to

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