Home
Class 12
MATHS
Solve 1 + sin x "sin"^(2) x/2=0....

Solve `1 + sin x "sin"^(2) x/2=0`.

Text Solution

Verified by Experts

`1+sin x "sin"^(2) x/2=0`
or `2+2 sin x "sin"^(2) x/2=0`
or `2+sin x(1- cos x)=0`
or `4+2 sin x - sin 2x=0`
or `sin 2x=2 sin x+4`
The above result is not possible for any value of x as L.H.S. has maximum value 1 and R.H.S. has minimum value 2.
Hence, there is no solution.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Exercise 4.1|12 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Exercise 4.2|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

Solve: 2sin^(2)x+sin^(2)2x=2

Solve sin x gt -1/2

Solve : sin^(-1)( x) + sin^(-1)( 2x) = sin^(-1)(sqrt(3)/2) .

Solve: 4sin x sin2x sin4x=sin3x

Solve sin 2x+cos x=0

Solve 4sin x sin2x sin4x=sin3x

Solve sin^(-1)x + sin^(-1) 2x = (pi)/(3)

Solve for x, sin^(2)(x)/(2)=sin x cos x -1/2

Solve sin x + (tan x) / (2) = 0

Solve sqrt(5-2 sin x)=6 sin x-1