Home
Class 11
MATHS
Prove that: cos^2 2x-cos^2 6x= sin4x sin...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|166 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|196 Videos

Similar Questions

Explore conceptually related problems

Prove that: cos^2 2x-cos^2 6x=sin4xsin8x

Prove that: sin^2 6x-sin^2 4x=sin2xsin10 x

Prove that : sin^2 6x-sin^2 4x=sin 2x\ sin\ 10 x

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

Prove that : (cos x + cos y)^2 + (sin x - sin y)^2 = 4 cos^2\ (x+y)/2

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

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

Prove that : (cos x - cos y)^(2) + (sin x - sin y)^(2) = 4 sin^(2) ((x - y)/(2))

Prove that : (cos 9x - cos 5x)/(sin 17x - sin 3x) = (-sin 2x)/(cos 10x)

Prove that : (cos 4x sin 3x - cos 2x sin x)/(sin 4x .sin x + cos 6x .cos x) = tan 2x

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
  1. Prove that :(tan(A+B))/("cot"(A-B))=(sin^2A-sin^2B)/(cos^2A-sin^2B)

    Text Solution

    |

  2. Prove that : sin^2 6x-sin^2 4x=sin 2x\ sin\ 10 x

    Text Solution

    |

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

    Text Solution

    |

  4. Prove that: (cos^2 33^@-cos^2 57^@)/(sin^2(21/2)^@-sin^2(69/2)^@)=-sqr...

    Text Solution

    |

  5. Prove that: cos2alpha\ cos2beta+sin^2(alpha-beta)-sin^2(alpha+beta)=co...

    Text Solution

    |

  6. Prove that: t a n 70^0=t a n 20^0+2t a n 50^0dot

    Text Solution

    |

  7. If sin alpha+sin beta=a\ a n d\ cosalpha+cosbeta=b , show that : cos(a...

    Text Solution

    |

  8. If sin alpha+sin beta=a\ a n d\ cosalpha+cosbeta=b , show that : sin(a...

    Text Solution

    |

  9. If sinA=4/5 and cosB=5/13, find the value of the following : "sin"(A+B...

    Text Solution

    |

  10. If sinA=4/5 and cosB=5/(13), where 0 < A,B < pi/2 ,find the value of...

    Text Solution

    |

  11. If sinA=4/5 and cosB=5/(13),where 0ltAltpi/2 ;0ltBltpi/2 , find the ...

    Text Solution

    |

  12. If sinA=4/5 and cosB=5/(13),where 0ltAltpi/2 ;0ltBltpi/2 , find the ...

    Text Solution

    |

  13. If sinA=12/13 and sinB=4/5 where pi/2 < A < pi and 0 < B < pi/2 then f...

    Text Solution

    |

  14. Prove that sinx/cos(3x)+sin(3x)/cos(9x)+sin(9x)/cos(27x)=1/2 (tan27x-t...

    Text Solution

    |

  15. If sin A=3/5, cos B=-(12)/(13),\ w h e r e A and B both lie in second ...

    Text Solution

    |

  16. If cosA=-24/25 and cos B=3/5 where pi < A < (3pi)/2 and (3pi)/2 < B < ...

    Text Solution

    |

  17. If cosA=-24/25 and cos B=3/5 where pi < A < (3pi)/2 and (3pi)/2 < B < ...

    Text Solution

    |

  18. If tanA=3/4,cosB=9/(41), where pi lt A lt (3pi)/2 and 0 lt B lt pi/2 ...

    Text Solution

    |

  19. If sinA=1/2,cosB=(12)/(13), w h e r e pi < A < (3pi)/2 and (3pi)/2...

    Text Solution

    |

  20. If sinA=1/2,cosB=(sqrt(3))/2, where pi/2 lt A lt pi and 0 lt B lt ...

    Text Solution

    |