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(A) If tanh alpha=(2)/(3), tan h beta=(3...

(A) If `tanh alpha=(2)/(3), tan h beta=(3)/(5)` then `tanh(alpha-beta)=p_(1)`
(B) `sinh(cosh^(-1)3+sinh^(-1)7)=p_(2)`
(C ) `tanh["tanh"^(-1)(2)/(3)+"tanh"^(-1)(3)/(5)]=p_(3)`

A

`p_(1) gt p_(3) gt p_(2)`

B

`p_(2) gt p_(3) gt p_(1)`

C

`p_(1) gt p_(2) gt p_(3)`

D

`p_(2) gt p_(1) gt p_(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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