Home
Class 12
MATHS
If tan(x/2)=cosec x - sin x then the val...

If `tan(x/2)=cosec x - sin x` then the value of `tan^2(x/2)` is

Text Solution

Verified by Experts

The correct Answer is:
`-2pmsqrt(5)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 10|10 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 11|10 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 8|10 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

If tan((x)/(2))=cos ecx-sin x then the value of tan^(2)((x)/(2)) is

If tan(x/2)=cosec x-sin x" then (1+sec^(2)(x)/(2))^(2)=

Knowledge Check

  • If tan(x/2)=cosec x-sin x , then tan^(2)(x/2) is equal to

    A
    `2-sqrt(5)`
    B
    `sqrt(5)-1`
    C
    `(9-4sqrt(5))(2+sqrt(5))`
    D
    `(9+4sqrt(5))(2-sqrt(5))`

  • If cot ""(2x)/(3) + tan (x/3) = cosec (kx)/(3), then the value of k is

    A
    1
    B
    2
    C
    3
    D
    `-1`

  • If tan 2x =tan((x)/(2)) , then the value of x is

    A
    `2x pi , n in Z`
    B
    `(n pi)/(3), n in Z `
    C
    ` (2 n pi )/(3), n in Z`
    D
    `(2 n pi )/(3) +(pi)/(4), n in Z`

    • Similar Questions

    Explore conceptually related problems

    If 2tan^(-1)(cos x)=tan^(-1)(2 cosec x) , then the value of x is

    If 2 tan^(-1) (cos x ) =tan^(-1) (2 cosec x) , then the value of x is

    If 2 tan ^(-1)(cos x )=tan ^(-1)(2 cosec x), then the value of x is

    If sin2x=n sin 2y , then the value of (tan(x+y))/(tan(x-y)) is :

    If A=tan^(-1) x , then the value of sin 2A is

    Home
    Profile