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If tan x = 3/4, pi lt x lt (3pi)/(2), t...

If `tan x = 3/4, pi lt x lt (3pi)/(2), ` then the value of `cos ""x/2 ` is

A

`-(1)/(sqrt10)`

B

`(3)/(sqrt10)`

C

`(1)/(sqrt10)`

D

`-(3)/(sqrt10)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If tan x = (3)/( 4) , 0 lt x lt 90^(@) , then what is value of sin x cos x ?

    A
    `(3)/( 5)`
    B
    ` (4)/(5)`
    C
    `(12)/(25)`
    D
    `(13)/(25)`

  • If sin x =(3)/(5) " and " 0 lt x lt (pi)/(2) find the value of tan (x)/(2)

    A
    `(1)/(3)`
    B
    `(4)/(5)`
    C
    `(3)/(4)`
    D
    None of these

  • If 0 lt x lt (pi)/(4), then sec 2x - tan 2x=

    A
    `tan (x- (pi)/(4))`
    B
    `tan ((pi)/(4) -x)`
    C
    `tan (x+(pi)/(4))`
    D
    `tan ^(2) (x+ (pi)/(4))`

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    If tan x=(3)/(4) " and " pi lt x lt .(3pi)/(2) find the value of (i) sin.(x)/(2) , (ii) cos .(x)/(2) , (iii) tan .(x)/(2)

    If tan x = -(4)/(3), (pi)/(2) lt x lt pi , then find the value of sin(x/2), cos(x/2) and tan(x/2) .

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    If tan x=3/4,pi

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