Home
Class 11
MATHS
The principal solution of sintheta=-(1)/...

The principal solution of `sintheta=-(1)/(2)` is

A

`-(pi)/(4)`

B

`-(pi)/(6)`

C

`-(pi)/(3)`

D

`(7pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Exercise-II|68 Videos

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Additional Exercise|14 Videos

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|77 Videos

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) (PRACTICE SHEET (ADVANCED) SIGNLE ANSWER TYPE QUESTIONS)|23 Videos

Similar Questions

Explore conceptually related problems

The principal solution of costheta=-(sqrt(3))/(2) is

The principal solution of tantheta=sqrt(3)-2 is

Knowledge Check

  • The principal solution of sintheta=sqrt((1+sqrt(2))/(2sqrt(2))) is

    A
    `22.5 ^(0)`
    B
    `67.5^(0)`
    C
    `72^(0)`
    D
    `9^(0)`

  • The principal solution of costheta=(1-sqrt(3))/(2sqrt(2)) is

    A
    `75^(@)`
    B
    `-75^(@)`
    C
    `105^(@)`
    D
    `-15^(@)`

  • Observe the following statements Assertion (A) : The general solution for costheta=(3)/(2) is theta=2npipmcos^(-1)(3//2) Reason (R ) : The general solution for costheta=k is theta=2npipmalpha, n inz where 'alpha' is principal value, alpha in[0,pi] and |k|le1 . Then the true statement among the following is

    A
    A is true, R is false
    B
    A is false, R is true
    C
    A is true, R is true, R implies A
    D
    A is false, R is false

    • Similar Questions

    Explore conceptually related problems

    The principal solution of tanx=sqrt(3) is theta then find 3theta .

    If sintheta+costheta=sqrt(2) , then the principal value of (theta+(pi)/(4)) is

    Find the principal solution of the equation tan x =- (1)/(sqrt3).

    A : The general solution of sin x = -1 is n pi + (-1)^(n)(3pi)/(2), n in Z R : The principal solution of sin x = 0 lies in [-pi//2, pi//2]

    The principal value of sin^(-1)(-(sqrt(3))/2) is

    Home
    Profile