Home
Class 12
MATHS
The real roots of the equation cos^7x+si...

The real roots of the equation `cos^7x+sin^4x=1` in the interval `(-pi,pi)` are __________, ________, and ________

A

`-pi//2, 0`

B

`-pi//2, pi//2`

C

`pi//2, 0`

D

`0, pi//4, pi//2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE (B) Properties of triangles|27 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - B : MASTERING THE BEST|58 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise HARDER SOLVED EXAMPLES|43 Videos

  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos

  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

The real roots of the equation cos^(7)x+sin^(4)x=1 in the interval (-pi,pi) are

Find the real roots of the equation cos^(4)x+sin^(7)x=1 in the interval [-pi,pi]

Number of roots of the equation cos^(7) x + sin^(4) x =1 in the internal [0,2pi] is

The number of solution of the equation |sin x|=|x-1| in the interval [0,pi]

The no. of solutions of the equation sin x+|cos x|=0 in the interval [0,4 pi]

The number of real roots of the equation x^(2)+x+3+2 sin x=0, x in [-pi,pi] , is

The number of solutions of the equation "cos"^(7) theta + "sin"^(4) theta = 1 in the interval (-pi, pi) , is

Find the no.of roots of the equation tan x+sec x=2cos x in the interval [0,2 pi]-

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE
  1. If sin ((pi)/(4) cot theta)= cos ((pi)/(4) tan theta), then the genera...

    Text Solution

    |

  2. The most general solution of the simultaneous equations tan theta = -1...

    Text Solution

    |

  3. The real roots of the equation cos^7x+sin^4x=1 in the interval (-pi,pi...

    Text Solution

    |

  4. The general value of theta which satisfies both equations cot^(3) thet...

    Text Solution

    |

  5. If 1/6 sinx, cosx, tan x are in G.P. then x=,

    Text Solution

    |

  6. If csc x = 1 + cot x, then x =

    Text Solution

    |

  7. If cot theta - tan theta = sec theta, then theta=

    Text Solution

    |

  8. Solution set of the equation tan(pi.tanx) = cot(pi.cotx) is

    Text Solution

    |

  9. Number of solution in [0, pi//2] of the equation cos 3x cdot tan 5x =...

    Text Solution

    |

  10. The general solution of the equation tanx+ tan2x + tanx.tan2x= 1 is

    Text Solution

    |

  11. If 5 cos 2 theta + 2 cos^(2) (theta//2) + 1 = 0

    Text Solution

    |

  12. The solution of the equation "cos"^(2) x-2 "cos" x = 4 "sin" x - "si...

    Text Solution

    |

  13. If sqrt(3).sinx + cosx= sqrt(3), then the general solution is x=

    Text Solution

    |

  14. If 81^(sin^2 x) + 81^(cos^2 x) = 30, where (pi//2) le x le pi, then x ...

    Text Solution

    |

  15. The general solution of the equation sin theta + cos theta = 1 is th...

    Text Solution

    |

  16. If sqrt(3) cdot cos theta + sin theta = sqrt(2), then the general valu...

    Text Solution

    |

  17. The equation sqrt(3) cdot sin x + cos x = 4 has

    Text Solution

    |

  18. General solution of the equation sin^(3) theta cdot cos theta - sin ...

    Text Solution

    |

  19. The number of solutions of the equation 3"sin"^(2) x - 7"sin" x +2...

    Text Solution

    |

  20. General solution of tan 5 theta = cot 2 theta

    Text Solution

    |