Home
Class 12
MATHS
Find the number of solution for the equa...

Find the number of solution for the equation Sin x = `x/10`

Text Solution

AI Generated Solution

To find the number of solutions for the equation \( \sin x = \frac{x}{10} \), we can follow these steps: ### Step 1: Define the Functions Let \( f(x) = \sin x \) and \( g(x) = \frac{x}{10} \). ### Step 2: Analyze the Range of \( f(x) \) The function \( f(x) = \sin x \) oscillates between -1 and 1 for all values of \( x \). Therefore, we have: \[ ...
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    CENGAGE ENGLISH|Exercise Concept Application Exercise 4.1|12 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE ENGLISH|Exercise Concept Application Exercise 4.2|6 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE ENGLISH|Exercise Archives (Matrix Match Type)|1 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos

Similar Questions

Explore conceptually related problems

Find the number of solutions for the equation sin 5x+sin 3x+sin x=0 for 0 le x le pi .

Find the number of solution to the equation sin x = x^(2) + 2x + 1.

Find the number of solutions of the equation sinx=x^2+x+1.

Find the number of solutions of the equation sinx=x^2+x+1.

Find the number of solutions of the equations (sin x - 1)^(3) + (cos x - 1)^(3) + ( sin x)^(3) = ( 2 sin x + cos x - 2)^(3) in ( 0, 2 pi) .

Find the number of solution of the equations sin^3 x cos x + sin^(2) x* cos^(2) x+sinx * cos^(3) x=1 , when x in[0,2pi]

Find the number of solution of the equation sinx=x^(2)+x+1 .

Find the number of solutions of the equation 2 sin^(2) x + sin^(2) 2x = 2 , sin 2x + cos 2x = tan x in [0, 4 pi] satisfying the condition 2 cos^(2) x + sin x le 2 .

Find the number of solutions of the equation 2 sin^(2) x + sin^(2) 2x = 2 , sin 2x + cos 2x = tan x in [0, 4 pi] satisfying the condition 2 cos^(2) x + sin x le 2 .

Find the number of solution of the equations |cot x|= cot x +(1)/(sin x), when in [0,2pi]

CENGAGE ENGLISH-TRIGONOMETRIC EQUATIONS-ILLUSTRATION
  1. Find the smallest positive values of xa n dy satisfying x-y=pi/4a n dc...

    Text Solution

    |

  2. For what value of k the equation sinx+cos(k+x)+cos(k-x)=2 has real sol...

    Text Solution

    |

  3. The -number of solutions of the equation cos(pisqrt(x-4)cos(pi sqrtx)=...

    Text Solution

    |

  4. If x , y in [0,2pi] , then find the total number of ordered pairs (x ,...

    Text Solution

    |

  5. Find the number of solution of sin^2xcos^2x=1+cos^2xsin^4x in the inte...

    Text Solution

    |

  6. If 3sinx+4cosa x=7 has at least one solution, then find the possible v...

    Text Solution

    |

  7. Solve cos^(50) x- sin^(50)x=1

    Text Solution

    |

  8. Solve sin^2x+cos^2y=2sec^2z for x , y ,a n dzdot

    Text Solution

    |

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

    Text Solution

    |

  10. Solve cos 4 theta+ sin 5 theta=2.

    Text Solution

    |

  11. Solve for xa n dy :sqrt(3)sinx+cosx=8y-y^2-18 ,w h e r e0lt=xlt=4pi, y...

    Text Solution

    |

  12. Solve the equation: cos^2[pi/4(sinx+sqrt(2)cos^2x)]-tan^2[x+pi/4tan^2x...

    Text Solution

    |

  13. Find the number of solution for the equation Sin x = x/10

    Text Solution

    |

  14. Find the number of roots of equation xsinx=1

    Text Solution

    |

  15. Prove that the least positive value of x , satisfying tanx=x+1,l i e s...

    Text Solution

    |

  16. If m and n(n > m) are positive integers, then find the number of solut...

    Text Solution

    |

  17. Solve sin x gt -1/2

    Text Solution

    |

  18. Solve x^(2) lt "sin" pi/2 x.

    Text Solution

    |

  19. Solve sintheta+sqrt(3)cos theta geq1,-pi < theta < pidot

    Text Solution

    |

  20. Solve cos 2x=|sin x|, x in (-pi/2, pi).

    Text Solution

    |