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sin^(-1)[x sqrt(1-x) - sqrtx sqrt(1-x^2)...

`sin^(-1)[x sqrt(1-x) - sqrtx sqrt(1-x^2)]=`

A

`sin^(-1)x+sin^(-1)sqrt(x)`

B

`sin^(-1)x-sin^(-1)sqrt(x)`

C

`sin^(-1)sqrt(x)-sin^(-1)x`

D

`sin^(-1)(x-sqrt(x))`

Text Solution

Verified by Experts

The correct Answer is:
B
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Critical Thinking
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  6. Find the value of sin^(-1)x+sin^(-1)1/x+cos^(-1)x+cos^(-1)1/xdot

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  11. cos^-1(4/5)+tan^-1(3/5)=tan^-1(27/11)

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  12. If "tan"^(-1)(x-1)/(x-2)+"tan"^(-1)(x+1)/(x+2)=(pi)/4, find x

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  13. cot^-1[(cot)^(1/2)]+tan^-1[(cotalpha)^(1/2)=x then sin x= (A) 1 (B) co...

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  14. If tan^(-1).(a+x)/(a) + tan ^(-1) ((a-x)/(a)) = (pi)/(6) then prove th...

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  15. Q. the value of tan^-1(a/(b+c))+tan^-1(b/(c+a)), if /=90^@ in triangle...

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  17. If x^2 + y^2 + z^2 = r^2 and x, y, z > 0, then tan^-1((xy)/(zr))+tan...

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  18. If cj >0 for i=1,2, , n , prove that tan^(-1)((c1x-y)/(c1y+x))+tan^(-...

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  19. If a1, a2,a3, ,an is an A.P. with common difference d , then prove th...

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  20. tan[2tan^(- 1)(1/5)+pi/4]

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