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If y="tan"^(-1)((sqrt(1+sinx)+sqrt(1-sin...

If `y="tan"^(-1)((sqrt(1+sinx)+sqrt(1-sinx)))/((sqrt(1+sinx)-sqrt(1-sinx)))," find "(dy)/(dx).`

A

`{:{((1)/(2)", " "cos"(x)/(2)gt"sin"(x)/(2)),((-(1)/(2)",","cos"(x)/(2)lt"sin"(x)/(2))),("doesnotexist," x={npi},n in "integer"):}`

B

`{:{(-(1)/(2)", " "cos"(x)/(2)gt"sin"(x)/(2)),(((1)/(2)",","cos"(x)/(2)lt"sin"(x)/(2))),("doesnotexist," x={npi},n in "integer"):}`

C

`{:{(-(1)/(2)", " "cos"(x)/(2)ge"sin"(x)/(2)),(((1)/(2)",","cos"(x)/(2)lt"sin"(x)/(2))):}`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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