Home
Class 12
MATHS
If sintheta=1/2a n dcostheta=-(sqrt(3))/...

If `sintheta=1/2a n dcostheta=-(sqrt(3))/2,` then the general value of `theta` is `(n in Z)`

A

`2n pi+(5pi)/6`

B

`2n pi+pi/6`

C

`2n pi+(7pi)/6`

D

`2npi+pi/4`

Text Solution

Verified by Experts

The correct Answer is:
A
`sin theta=1//2` and `cos theta=-sqrt(3)//2`
`rArr theta` lies in the second quadrant.
`rArr sin theta=sin 5pi//6`,
`:. Theta=2npi+(5pi//6), n in Z`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Exercise (Multiple)|31 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Exercise (Comprehension)|20 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Exercise 4.9|6 Videos

  • TRIGNOMETRIC RATIOS IDENTITIES AND TRIGNOMETRIC EQUATIONS

    CENGAGE|Exercise Question Bank|34 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos

Similar Questions

Explore conceptually related problems

If sin theta=(1)/(2) and cos theta=-(sqrt(3))/(2), then the general value of theta is (n in Z)*( a) 2n pi+(5 pi)/(6) (b) 2n pi+(pi)/(6)2n pi+(7 pi)/(6)( d) 2n pi+(pi)/(4)

If sin theta=(1)/(2) and cos theta=(sqrt(3))/(2) then the general value of theta which satisfies both the equations is

Knowledge Check

  • If sin theta = 1//2 and cos theta = -sqrt(3)//2 , then the general value of theta is

    A
    `2n pi + (5pi//6)`
    B
    `2 n pi + (pi//6)`
    C
    `2 n pi + (7pi//6)`
    D
    `2 n pi + (pi//4)`

  • If cos 2theta=(sqrt(2)+1)(cos theta-(1)/(sqrt(2))) , then the general value of theta(n in Z)

    A
    `2n pi pm (pi)/(6)`
    B
    `n pi+(pi)/(12)`
    C
    `n pi+(7pi)/(36)`
    D
    none of these

  • If tantheta=-(1)/(sqrt(3)),sintheta=(1)/(2)andcostheta=-(sqrt(3))/(2) , then the principal value of theta will be

    A
    `(pi)/(6)`
    B
    `(5pi)/(6)`
    C
    `(7pi)/(6)`
    D
    `-(pi)/(6)`

    • Similar Questions

    Explore conceptually related problems

    If 4sin^(2)theta+2(sqrt(3)+1)cos theta=4+sqrt(3) then the general value of theta is

    If tan^(2)theta-(1+sqrt(3))tan theta+sqrt(3)=0, then the general value of theta is

    If tan^(2)theta-(1+sqrt(3))tan theta+sqrt(3)=0, then the general value of theta is

    If sin theta=1/2 and tan theta=1/sqrt3,AA n in I , then most general values of theta is

    If sintheta=-1/2 and tantheta=1/sqrt(3) then theta is equal to,

    Home
    Profile