Home
Class 11
MATHS
Prove that: sin3e sin^3e+cos3ecos^3e=cos...

Prove that: `sin3e sin^3e+cos3ecos^3e=cos^3 2e`

Text Solution

AI Generated Solution

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

Prove that: (sin A+sin3A)/(cos A-cos3A)=cotA

Prove that : (sin3A+sin A)sin A+(cos3A-cos A)cos A=0

Prove that: \ (sin3A+sin A)sin A+(cos3A-cos A)cos A=0

Prove that: (sin5A-sin3A)/(cos5A+cos3A)=tanA (2) (sinA+sin3A)/(cosA+cos3A)=tan2A

Prove that: (sinA+sin3A+sin5A)/(cos A+cos3A+cos5A)=tan3A

Prove that: (sin5A-sin3A)/(cos5A+cos3A)=tanA (sinA-sin3A)/(cosA+cos3A)=tanA

Prove that: (sin 3 x +sin x) sin x + (cos 3x - cos x) cos x = 0

Prove that: 2sin^2 (3pi/4)+2cos^2(pi/4)+s e c^2pi/3=10

Prove that : cos^3 A cos 3A + sin^3 A sin 3A = cos^3 2A

Prove that: (sin70^@)/(cos20^@)+(cos e c\ 20^@)/(sec70^@)-2cos70^@\ cos e c\ 20^@=0

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES-All Questions
  1. Prove that: (2cos2^ntheta+1)/(2costheta+1)=(2costheta-1)(2cos2theta-1)...

    Text Solution

    |

  2. If t a ntheta/2=sqrt((a-b)/(a+b))tanvarphi/2 , prove that costheta=(a ...

    Text Solution

    |

  3. Prove that: sin3e sin^3e+cos3ecos^3e=cos^3 2e

    Text Solution

    |

  4. If cosalpha+cosbeta+cosgamma=0 , then prove that cos3alpha+cos3beta+co...

    Text Solution

    |

  5. If costheta=(cosalpha cosbeta)/(1-sinalphasinbeta) , prove that one va...

    Text Solution

    |

  6. If costheta=(cosalpha-cosbeta)/(1-cosalpha.cosbeta) , prove that t a ...

    Text Solution

    |

  7. sin5A=5cos^4AsinA-10cos^2Asin^3A+sin^5A

    Text Solution

    |

  8. Prove that: cos5A=16cos^5A-20cos^3A+5cosA

    Text Solution

    |

  9. Prove that: sin18^0=(sqrt(5)-1)/4 .

    Text Solution

    |

  10. Prove that: |sintheta."sin"(60-theta).sin(60+theta)|lt=1/4 for all val...

    Text Solution

    |

  11. Prove that: (sin2theta)/(1+cos2theta)=t a ntheta

    Text Solution

    |

  12. Prove that sin(2theta)/(1-cos2theta)=cot theta

    Text Solution

    |

  13. Prove that: (cos2theta)/(1+sin2theta)=tan(pi/4-theta)

    Text Solution

    |

  14. Prove that: (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=cot theta

    Text Solution

    |

  15. Prove that: (1+sintheta-costheta)/(1+sintheta+costheta)=tan(theta/2)

    Text Solution

    |

  16. Prove that: (costheta)/(1+sintheta)=tan(pi/4-theta/2)

    Text Solution

    |

  17. Prove that: sin10^0sin30^0sin50^0sin70^0=1/(16)dot

    Text Solution

    |

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

    Text Solution

    |

  19. Prove that: (sin5x-2sin3x+sin x)/(cos5x-cos x)=tanx

    Text Solution

    |

  20. Prove that : (sinx-sin3x)/(sin^(2)x-cos^(2)x) = 2sinx

    Text Solution

    |