Home
Class 11
MATHS
Prove that: (1+cos4x)/(cot x-tanx)=1/2si...

Prove that: `(1+cos4x)/(cot x-tanx)=1/2sin4x`

Text Solution

AI Generated Solution

To prove that \[ \frac{1 + \cos 4x}{\cot x - \tan x} = \frac{1}{2} \sin 4x, \] we will simplify both sides step by step. ...
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

int(1+cos4x)/(cotx-tanx)dx

int(1+cos4x)/(cotx-tanx)\ dx

Evaluate: int(1+cos4x)/(cotx-tanx)\ dx

Prove that: (cos4x+cos3x+cos2x)/(sin4x+sin3x+sin2x)=cot3x

Prove that: (cos4x+cos3x+cos2x)/(sin4x+sin3x+sin2x)=cot3x

Prove that (cos4x+cos3x+cos2x)/(sin4x+sin3x+sin2x)=cot3x

Prove that: (cos(pi+x)cos(-x))/(sin(pi-x)cos(pi/2+x))=cot^2x

Prove that: (cos(pi+x)cos(-x))/(sin(pi-x)cos(pi/2+x)} =cot^2x

Prove that: cos^2 2x-cos^2 6x= sin4x sin8x

Prove that : cos4x=1-8sin^2xcos^2x

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES-All Questions
  1. Prove that: sin(pi/10)+sin((13pi)/10)=-1/2

    Text Solution

    |

  2. If tan(pi//4+theta)+""tan(pi//4-theta)=lambdasec2theta,t h e nlambda= ...

    Text Solution

    |

  3. Prove that: (1+cos4x)/(cot x-tanx)=1/2sin4x

    Text Solution

    |

  4. Prove that: (cos7x-cos8x)/(1+2cos5x)=cos2x-cos3x

    Text Solution

    |

  5. To prove (cos5x+cos4x)/(1-2cos3x)=-cos2x-cosx

    Text Solution

    |

  6. If tantheta= t, then tan2theta+sec2theta is equal to (a) (1+t)...

    Text Solution

    |

  7. Prove that: "cot"pi/(24)=sqrt(2)+sqrt(3)+sqrt(4)+sqrt(6)

    Text Solution

    |

  8. (sec8A-1)/(sec4A-1) is equal to (A) (tan2A)/(tan8A) (B) (tan8A)/(t...

    Text Solution

    |

  9. If A=2sin^2theta-cos2theta,t h e nA lies in the interval (a) [-1,3] (...

    Text Solution

    |

  10. Prove that (tan3x)/(tanx) never lies between 1/3a n d3 .

    Text Solution

    |

  11. The value of (cot (x/2)-t a n (x/2))^2(1-2tanxcot2x) is (a)1 (b) 2 (c)...

    Text Solution

    |

  12. Prove that cos^3A+cos^3(120^0+A)+cos^3(240^0+A)=3/4cos3A

    Text Solution

    |

  13. Simplify 2sin^2beta+4cos(alpha+beta)sinalphasinbeta+cos2(alpha+beta)

    Text Solution

    |

  14. Prove that: "tan"pi/(16)=sqrt(4+2sqrt(2))-(sqrt(2)+1)

    Text Solution

    |

  15. Prove that: "tan"142""(1^0)/2=2+sqrt(2)-sqrt(3)-sqrt(6)

    Text Solution

    |

  16. Prove that:(sec8theta-1)/(sec4theta-1)=(tan8theta)/(tan2theta)

    Text Solution

    |

  17. Prove that: (cosA+cosB)^2+(sinA-sinB)^2=4cos^2((A+B)/2) .

    Text Solution

    |

  18. Prove that: (1+cos. (pi)/8)(1+cos. (3pi)/8)(1+cos. (5pi)/8)(1+cos. (7...

    Text Solution

    |

  19. If sinA=3/5, where 0^0ltAlt90^0 , then find the values of sin2A , cos2...

    Text Solution

    |

  20. Prove that: sin(pi/10) sin((13pi)/10)=-1/4

    Text Solution

    |