Home
Class 12
MATHS
Total number of solutions of 16^(sin^(2)...

Total number of solutions of `16^(sin^(2)x)+16^(cos^(2)x)=10" in "[0,2pi]` are

A

2

B

4

C

6

D

8

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise PROBLEM SET (1) ((true or false)|1 Videos

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise PROBLEM SET (1) ((fill in the blanks)|1 Videos

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Self Assessment Test|27 Videos

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (FILL IN THE BLANKS)|6 Videos

Similar Questions

Explore conceptually related problems

Total number of solution of 16^(cos^(2)x)+16^(sin^(2)x)=10 in x in[0,3 pi] is equal to (A)4(B)8(C)12(D)16

No of solutions of 16^(sin^(2)x)+16^(cos^(2)x)=10,0<=x<=2 pi is

Number of solutions of equation sin x.sqrt(8cos^(2)x)=1 in [0, 2pi] are

Total number of solutions of sin^(4)x+cos^(4)x=sinx*cosx in [0,2pi] is equal to

Find the total number of solution of sin^(4)x+cos^(4)x=sinxcosx" in "[0,2pi] is equal to

The number of solutions of sin^(4)x+cos^(4)x=sin x cos x in [0,2 pi] is/are

The total number of solution of sin^(4)x+cos^(4) x= sin x cos x in [0, 2pi]

Solve: 16^(sin^(2)x)+16^(cos^(2)x)=10,0<=x<2 pi

If x in[0,2 pi] then the number of solution of the equation 81^(sin^(2)x)+81^(cos^(2)x)=30

ML KHANNA-TRIGONOMETRICAL EQUATIONS -SELF ASSESSMENT TEST
  1. Total number of solutions of 16^(sin^(2)x)+16^(cos^(2)x)=10" in "[0,2p...

    Text Solution

    |

  2. If sintheta=sinalpha, then

    Text Solution

    |

  3. The general solution of the trigonometic equation "sin"x + "cos"x = 1...

    Text Solution

    |

  4. The general solution of equation sin^2 theta sec theta + sqrt3 tan th...

    Text Solution

    |

  5. The solution set of (2"cos"x-1)(3+2"cos"x) = 0 in the interval 0 le x ...

    Text Solution

    |

  6. If tan a theta-tan b theta=0, then prove that the values of theta form...

    Text Solution

    |

  7. If cos p theta+cos q theta=0, then prove that the different values of ...

    Text Solution

    |

  8. If sin5x+sin3x+sinx=0, then the value of x other than zero between 0le...

    Text Solution

    |

  9. The maximum value of sin (x + x/6) + cos (x + pi/6) int eh interval (0...

    Text Solution

    |

  10. If x = X "cos" theta-Y "sin" theta, y = X "sin" theta + Y "cos" theta ...

    Text Solution

    |

  11. The general solution of the equation tan^2 x + 2 sqrt3 tan x = 1is giv...

    Text Solution

    |

  12. Let P= {theta : sin theta - cos theta = sqrt2 cos theta} and Q =...

    Text Solution

    |

  13. For 0 lt theta lt pi/2, the solutions of sigma(m-1)^(6)"cosec"(theta+(...

    Text Solution

    |

  14. The positive integer value of n gt 3 satisfying the equation (1)/(sin(...

    Text Solution

    |

  15. The number of all possible values of theta,where 0 lt thetalt pi for w...

    Text Solution

    |

  16. The number of values of theta in the interval (-(pi)/(2), (pi)/(2)) su...

    Text Solution

    |

  17. If sqrt3cos theta + sin theta = sqrt2 then general value of theta is

    Text Solution

    |

  18. The general solution of sinx-cosx=sqrt(2), for any integer n is

    Text Solution

    |

  19. If tan2theta =1, then the general value of theta is

    Text Solution

    |

  20. The equation a "cos" x - "cos" 2x = 2a-7 passesses a solution if

    Text Solution

    |

  21. General value of theta obtained from the equation cos 2 theta = sin al...

    Text Solution

    |