Home
Class 11
MATHS
If 0 lt theta lt (pi)/8, show that sqrt(...

If `0 lt theta lt (pi)/8`, show that `sqrt(2+sqrt(2+sqrt(2+2cos4theta)))` = 2 cos (theta//2)`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 6(E)|20 Videos

  • TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 6(F)|20 Videos

  • TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 6(C)|40 Videos

  • TRIGONOMETRIC EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS |18 Videos

Similar Questions

Explore conceptually related problems

If thetalt22 1^(@)/2 then sqrt(2+sqrt(2+sqrt(2+2cos4theta)))=

If 0 lt theta lt pi//4 , " then " sqrt(2+sqrt(2+2cos 4 theta ))=

If thetaltpi/16 then sqrt(2+sqrt(2+sqrt(2+2cos8theta)))=

int_(0)^(pi) sqrt(2-2cos theta) d theta

Solve sqrt(3) cos theta + sin theta = sqrt(2)

If 0 lt theta lt pi/2 , the solution of the equation sin theta - 3 sin 2 theta + sin 3 theta = cos theta - 3 cos 2 theta + cos 3 theta is

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS-EXERCISE - 6(D)
  1. If sin alpha =(3)/(5) , where (pi)/(2) lt alpha lt pi , evaluate cos ...

    Text Solution

    |

  2. If cosA=7/25 and (3pi)/2 lt A lt 2pi, then find the value of cotA//2.

    Text Solution

    |

  3. If 0 lt theta lt (pi)/8, show that sqrt(2+sqrt(2+sqrt(2+2cos4theta))) ...

    Text Solution

    |

  4. Find the extreme values of cos 2x+cos^2x

    Text Solution

    |

  5. Find the extreme values of 3sin^(2)x+5cos^(2)x.

    Text Solution

    |

  6. If a le cos theta + 3sqrt(2) sin [theta + (pi)/4] + 6 le b, find large...

    Text Solution

    |

  7. Find the periods for the following functions. cos^(4)x

    Text Solution

    |

  8. Find the periods for the following functions. 2sin[(pixi)/4]+3cos[(p...

    Text Solution

    |

  9. Find the periods for the following functions. sin^(2)x+2cos^(2)x

    Text Solution

    |

  10. Find the periods for the following functions. 2sin[pi/4+xi]cosx

    Text Solution

    |

  11. Find the periods for the following functions. (5sigmatauvxi+3chiosig...

    Text Solution

    |

  12. If 0 lt A lt pi //4 and cos A = 4//5, then find the values of sin 2...

    Text Solution

    |

  13. For what values of A in the first quardrant, the expression (cot^(3)A-...

    Text Solution

    |

  14. Prove that (cos3A + sin3A)/(cosA - sin A) = 1+ 2sin 2A.

    Text Solution

    |

  15. If theta lies in third Quardrant and Sintheta=(-4)/5. Find the values ...

    Text Solution

    |

  16. If 90^(@) lt theta lt 180^(@) , cos theta =-12//13 , then sin 2 thet...

    Text Solution

    |

  17. (Cos^(3)theta-Cos3theta)/(Costheta)+(Sin^(3)theta+Sin3theta)/(Sintheta...

    Text Solution

    |

  18. Show that CosA=(Cos3A)/(2Cos2A-1). Hence find the value of Cos15^(@)

    Text Solution

    |

  19. Show that sin A= (sin 3A) /(1+2 cos 2A). Hence find the value of sin 1...

    Text Solution

    |

  20. Prove that tanalpha=(sigmatauv2alpha)/(1+chiosigma2alpha) and hence de...

    Text Solution

    |