Home
Class 11
MATHS
The equation e^(sin x) -e^(-sin x)-4=0 h...

The equation `e^(sin x) -e^(-sin x)-4=0` has

Text Solution

Verified by Experts

`e^(sinx)-e^(-sinx)-4=0`
`e^(sinx)-1/(e^(sinx))-4=0`
`((e^(sinx))^2-1)/(e^(sinx))=4`
`(e^(sinx))^2-4e^(sinx)-1=0`
`e^(sinx)=(4pmsqrt20)/2=(4pm2sqrt5)/2`
`e^(sinx)=2pmsqrt5=2pm2.73`
`=-0.236`
`0lte^(sinx)lte`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

For x in (0, pi) the equation sin x+2 sin 2x-sin 3x=3 has

int e^(x)sin x sin2x dx

Knowledge Check

  • The equation e^(x-1)+x-2=0 as

    A
    one real root
    B
    two real roots
    C
    three real roots
    D
    our real roots

  • For x belongs to (o,pi) the equation sinx+2sin2x-sin3x=3 has

    A
    infintely many solution
    B
    three solution
    C
    one solution
    D
    no solution

  • In which of the following interval, the equation cos ^(2) x+ sin x+1=0 has one solution ?

    A
    `((pi)/(4), (3pi)/(4))`
    B
    `(-(pi)/(4) , (pi)/(4))`
    C
    `((5pi)/(4), (7pi)/(4))`
    D
    `((3pi)/(4), (5pi)/(4))`

    • Similar Questions

    Explore conceptually related problems

    Find all the values of alpha for which the equation sin ^(4) x+ cos^(4)x+ sin 2x +alpha=0 is valid.

    int e^(x)(1-sin x)/(1-cos x)dx

    int e^(x)(cos x-sin x) dx

    If x in [0,pi/2] , the number of solutions of the equation, sin 7x + sin 4x+ sinx=0 is

    The equation sin x = x^2 + x + 1 has

    Home
    Profile