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If sin^(-1)x+sin^(-1)y=(2pi)/(3)",then"c...

If `sin^(-1)x+sin^(-1)y=(2pi)/(3)",then"cos^(-1)x+cos^(-1)y` is equal to

A

`(2pi)/(3)`

B

`(pi)/(3)`

C

`(pi)/(6)`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
C
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SURA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 4.6 (Choose the Correct or the most suitable answer from the given four alternatives : )
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  15. If cot^(-1)(sqrt(sinalpha))+tan^(-1)(sqrt(sinalpha))=u,"then"cos2u"is ...

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  16. If absxle1,"then"2tan^(-1)x-sin^(-1)""(2x)/(1+x^(2)) is equal to

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

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