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The value of (alpha^(3))/(2) cosec^(2) (...

The value of `(alpha^(3))/(2) cosec^(2) ((1)/(2) tan^(-1) ((alpha)/(beta))) + (beta^(3))/(2) sec^(2) ((1)/(2) tan^(-1) ((beta)/(alpha)))` is equal to

A

`(alpha-beta)(alpha^(2)-beta^(2))`

B

`(alpha+beta)(alpha^(2)-beta^(2))`

C

`(alpha+beta)(alpha^(2)+beta^(2))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS -Chapter Test
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  11. If alpha = sin^(-1)(sqrt(3)/2)+sin^(-1)(1/3) , beta =cos ^(-1)(sqrt(3)...

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  12. The sum of the two angles cot^(-1) 3 and cosec^(-1) sqrt(5) is

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  13. Show that: cos(2tan^(-1)1/7)=sin(4^(-1)1/3)

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  14. The number of the solutions of the equation 2 sin^(-1) sqrt(x^(2) + x ...

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  15. cos{cos^(-1)(-1/7)+sin^(-1)(-1/7)} =

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  18. If xge0 and theta=sin^(-1)x+cos^(-1)x-tan^(-1)x, then

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  19. If tan^(-1)a+tan^(-1)b+tan^(-1)c=pi then prove tjhat a+b+c=abc

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  20. The value of cot("cosec"^(-1)(5)/(3)+"tan"^(-1)(2)/(3)) is :

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