Home
Class 12
MATHS
Solve 2 sin theta + 1=0....

Solve `2 sin theta + 1=0`.

Text Solution

Verified by Experts

The correct Answer is:
`theta=n pi +(-1)^(n+1) pi/6, n in Z`
`2 sin theta+1=0`
`rArr sin theta =-1/2 = sin ((-pi)/6)`
`rArr theta=n pi +(-1)^(n) ((-pi)/6), n in Z`
`=n pi +(-1)^(n+1) pi/6, n in Z`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Exercise 4.3|9 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Exercise 4.4|9 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Exercise 4.1|12 Videos

  • TRIGNOMETRIC RATIOS IDENTITIES AND TRIGNOMETRIC EQUATIONS

    CENGAGE|Exercise Question Bank|4 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos

Similar Questions

Explore conceptually related problems

Solve (3 sin theta-sin 3 theta)/(sin theta)+(cos 3 theta)/(cos theta)=1 .

Solve sin^(2) theta-2 cos theta+1/4=0

Solve : 3-2 cos theta -4 sin theta - cos 2theta+sin 2theta=0 .

Solve 3sin^2 theta -cos^2 theta=0

Solve sin 6 theta=sin 4 theta-sin 2 theta .

Solve the equations: 2 cos^(2) theta + 3 sin theta - 3 = 0

Solve sin^(2) theta gt cos^(2) theta .

Solve sin theta+cos theta=sqrt(2) cos A .

Solve sin 2 theta+cos theta=0 .

Solve sin^(2) theta-cos theta=1/4, 0 le theta le 2pi .