Home
Class 11
MATHS
Find the general solution : sin 2x + co...

Find the general solution : `sin 2x + cos x = 0`

Text Solution

Verified by Experts

The correct Answer is:
`x=(2n+1) pi/2` or `x=n pi + (-1)^n (7 pi)/6, n in ZZ`
`sin 2x + cos x = 0`
`2 sin x cos x + cos x = 0`
`cosx(2 sinx+1)=0`
`cosx = 0` or `sinx = -1/2`
`x=(2n+1)\ pi/2` or `x=n pi + (-1)^n\ (7 pi)/6, \ n in ZZ`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NCERT|Exercise EXERCISE 3.3|25 Videos

  • TRIGONOMETRIC FUNCTIONS

    NCERT|Exercise MISCELLANEOUS EXERCISE|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    NCERT|Exercise SOLVED EXAMPLES|33 Videos

  • STRAIGHT LINES

    NCERT|Exercise EXERCISE 10.5|2 Videos

Similar Questions

Explore conceptually related problems

Find the general solutions of sin x - 1 = 0

Find the general solution of sin5x cos 3x = sin9x cos7x

The general solution of sin2x=4cos x is

Find the general solution of sin x + sin 5x = sin 2 x + sin 4 x .

Find the general solution of : cos x - sin x = 1 .

Find the general solution of Sin x-Cos x = 1 .

Find the general solutions of cos 2x = 1.

Find the general solution: cos4x=cos2x

Find the general solution of 1+sin^3x + cos^(3)x=(3)/(2)sin 2x

Find the general solution of 2sin x+tan x=0