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The value of x for which sin[cot^(-1)(1+...

The value of x for which `sin[cot^(-1)(1+x)]=cos(tan^(-1)x)` is :

A

`1//2`

B

1

C

0

D

`-1//2`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-INVERSE TRIGNOMETRIC FUNCTIONS-LECTURE SHEET (EXERCISE - III) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
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  11. The number of real solutions of abs(y)=sinx, y=cos^(-1)(cosx), -2pi le...

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  12. Number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)Sin^(-1)...

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  13. The solution of the inequality log(1//2)sin^(-1)x gt log(1//2)cos^(-1)...

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  15. If (cot^(-1)x)^(2)-7(cot^(-1)x)+10 gt 0, then x lies in the interval

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  19. The least integral value of k for which (k-2)x^(2)+8x+k+4 gt Sin^(-1)(...

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  20. If x, y, z are natural numbers such that cot^(-1)x+cot^(-1)y=cot^(-1)z...

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