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if tan x =b/a, then (sqrt((a+b)/(a-b))+s...

if `tan x =b/a,` then `(sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b)))` is equal to-

A

`(2 sin x)/(sqrt(sin 2x))`

B

`(2 cos x)/(sqrt(sin 2x))`

C

`(2 cos x)/(sqrt(cos 2x))`

D

`(2 sin x)/(sqrt(cos 2x))`

Text Solution

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The correct Answer is:
C
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If tanx=b/a , then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b)) is equal to (a) 2sinx//sqrt(sin2x) (b) 2cosx//sqrt(cos2x) (c) 2cosx//sqrt(sin2x) (d) 2sinx//sqrt(cos2x)

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Knowledge Check

  • If tan x =b/a, then the value of (a cos 2x+ b sin 2x) is equal to-

    A
    a
    B
    b
    C
    `a ^(2)+b^(2)`
    D
    `a^(2) -b^(2)`

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