Home
Class 12
MATHS
Find the number of real solutions to the...

Find the number of real solutions to the equation `sqrt(1+cos2x)=sqrt2 sin^(-1)(sinx),-pilexlepi`.

A

0

B

1

C

2

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
C
Here `|cos x| = sin^(-1) (sin x)`

From the graph, the number of solutions is 2
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos

Similar Questions

Explore conceptually related problems

The number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)sin^(-1)(sinx),-pilt=xlt=pi is (a) 0 (b) 1 (c) 2 (d) infinite

The number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)sin^(-1)(sinx),-pilt=xlt=pi is 0 (b) 1 (c) 2 (d) infinite

Find the number of real solutions of the equation sqrt(1 + cos 2x) = sqrt2 cos^-1 (cosx) , where x in [pi/2 , pi]

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

The number of real solutions of the equation (sinx-x)(cosx-x^2)=0 is

Find the number of real solutions to the equation 3cos^(-1)x-pix-pi/2=0

The number of real solution to the equation -x^2+x-1=sin^(2)x

The number of real solutions of the equation (sinx-x)(cosx-x^(2))=0 is

The number of solution(s) of the equation sqrt(x+1)-sqrt(x-1)=sqrt(4x-1) is/are

Find the number of solution of the equation 1+e^(cot^2x)=sqrt(2|sinx|-1)+(1-cos2x)/(1+sin^4x) for x in (0,5pi)dot

CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The number of real solution of the equation tan^(-1) sqrt(x^2-3x +2) +...

    Text Solution

    |

  2. If sin^(-1)(x-1)+cos^(-1)(x-3)+tan^(-1)(x/(2-x^2))=cos^(-1)k+pi, then ...

    Text Solution

    |

  3. Find the number of real solutions to the equation sqrt(1+cos2x)=sqrt2 ...

    Text Solution

    |

  4. The equation 3 cos^(-1) x - pi x - (pi)/(2) =0has

    Text Solution

    |

  5. Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (pi/4,(3pi)/4) (b) [pi...

    Text Solution

    |

  6. The value of underset( |x| -> infty) lim cos( tan^(-1)(sin(tan^(-1)x))...

    Text Solution

    |

  7. Find the range of tan^(-1)((2x)/(1+x^2))

    Text Solution

    |

  8. Complete solution set of (cot^(-1)x)+2(tan^(-1)x)=0, where [] denotes ...

    Text Solution

    |

  9. The number of integral values of k for which the equation sin^(-1)x+ta...

    Text Solution

    |

  10. The range of value of p for which the equation sincos^(-1)("cos"(tan^(...

    Text Solution

    |

  11. The number of real solutions of the equation 2sin^-1sqrt((x^2-x+1))+co...

    Text Solution

    |

  12. Complete solution set of tan^2(sin^(-1)x)>1 is (-1,-1/(sqrt(2)))uu(1/(...

    Text Solution

    |

  13. The trigonometric equation sin^(-1)x=2sin^(-1)a has a solution for all...

    Text Solution

    |

  14. The number of solution of equation sin^(-1)x+nsin^(-1)(1-x)=(mpi)/2,wh...

    Text Solution

    |

  15. If |cos^(-1)((1-x^2)/(1+x^2))| < pi/3,t h e n (a) x in [-1/3,1/(sqrt(...

    Text Solution

    |

  16. The value of sin^(-1)(sin12)+cos^(-1)(cos12)=

    Text Solution

    |

  17. The value of the expression sin^(-1)(sin(22pi)/7)+cos^(-1)(cos(5pi)/3)...

    Text Solution

    |

  18. The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x i...

    Text Solution

    |

  19. If alpha in (-(3pi)/2,-pi) , then the value of tan^(-1)(cotalpha)-cot^...

    Text Solution

    |

  20. tan^-1[(cos x)/(1+sin x)] is equal to

    Text Solution

    |