Home
Class 12
MATHS
If sin^(10) x - cos^(10)x=1 then x =...

If `sin^(10) x - cos^(10)x=1` then x =

A

`n pi`

B

`2n pi + pi//2`

C

`(2n+1)pi//2`

D

`n pi//2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 1|4 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 2|4 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

  • TRANSFORMATION OF AXES

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|3 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPEICAL TYPE QUESTIONS ) SET -4|20 Videos

Similar Questions

Explore conceptually related problems

If sin^(3) x + sin x .cos x + cos^(3) x = 1 then x =

If sin x + sin^(2)x=1 then prove that cos^(12) x+3 cos^(10) x+ 3 cos^(8) x+ cos^(6) x=1 .

If cos x + cos^(2) x =1 , " then " sin^(12) x + 3 sin^(10)x + 3sin^(8) x + sin^(6) x =

If sin(x-20)^@=cos(3x-10)^@ , then ‘x’ is

int (sin^(-1) x -cos^(-1)x)/(sin^(-1) x + cos^(-1)x) dx =

If sin x + sin^(2) x =1 " then " cos^(8) x + 2 cos^(6) x + cos^(4) x =

If sin^(-1)(x)-cos^(-1)(x)=sin^-1(x-1) then x=

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
  1. If x is an acute angle and sin (x + 28^(@))=cos (3x - 78^(@)), then x ...

    Text Solution

    |

  2. The general solution of 2 sin^(2)theta - sin theta - 1 = 0 is

    Text Solution

    |

  3. If sin^(10) x - cos^(10)x=1 then x =

    Text Solution

    |

  4. The number of roots of the equation 2 sin^(2)theta + 3 sin theta + 1 =...

    Text Solution

    |

  5. If sqrt(sin x)+ cos x = 0 then sin x =

    Text Solution

    |

  6. If 2sin x + cosec x = 3 then theta =

    Text Solution

    |

  7. If cos^(2)theta - sin theta = 1//4 then theta =

    Text Solution

    |

  8. If 4 cos theta - sec theta = 4 tan theta then theta =

    Text Solution

    |

  9. If 3 cos 2theta + 2 = 7 sin theta then theta =

    Text Solution

    |

  10. {x in IR : cos 2x + 2 cos^(2) x - 2 = 0}=

    Text Solution

    |

  11. If 4sin^(2)x-2 (1+sqrt(3))sin x + sqrt(3)=0 then theta =

    Text Solution

    |

  12. If cosec^(2)theta - 3cosec theta + 2 = 0 then theta =

    Text Solution

    |

  13. If 4cos^(2)x sin x - 2 sin^(2)x=3sinx, then x =

    Text Solution

    |

  14. If r sin theta = sqrt(3), r + 4 sin theta = 2(sqrt(3)+1), 0 le theta l...

    Text Solution

    |

  15. If alpha is a root of 25 cos^(2)theta + 5 cos theta - 12 =0, (pi)/(2) ...

    Text Solution

    |

  16. The solution set of (5+4 cos theta) (2 cos theta + 1) =0 in the interv...

    Text Solution

    |

  17. If sin^(2)x - cos x = 1//4 then the values of x in (0, 2pi) are

    Text Solution

    |

  18. If 2cos^(2)theta + cos theta -1 =0 then theta =

    Text Solution

    |

  19. If 2 sin^(2)theta = 3 cos theta, then the value of theta in [0, 2pi] a...

    Text Solution

    |

  20. The general solution of sin^(2)x-2 cos x +(1)/(4)=0 is

    Text Solution

    |