Home
Class 11
MATHS
Prove that (cos(9x)-cos(5x))/(sin(17x)...

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

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NCERT GUJARATI|Exercise EXERCISE 3.4|9 Videos

  • TRIGONOMETRIC FUNCTIONS

    NCERT GUJARATI|Exercise MISCELLANEOUS EXAMPLES|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    NCERT GUJARATI|Exercise EXERCISE 3.2|10 Videos

  • STRAIGHT LINES

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 10|24 Videos

Similar Questions

Explore conceptually related problems

Prove that (cos(4x)+cos(3x)+cos(2x))/(sin(4x)+sin(3x)+sin(2x))=cot(3x)

Prove that, (cos7x+cos5x)/(sin7x-sin5x)=cotx

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

Prove that (cos 7x + cos 5x)/( sin 7x - sin 5x) = cot x

Prove that : ([sin(7x)+sin(5x)]+[sin(9x)+sin(3x)])/([cos(7x)+cos(5x)]+[cos(9x)+cos(3x)])=tan(6x)

Prove that cos^(2)2x-cos^(2)6x=sin4xsin8x

Prove that : sinx+sin(3x)+sin(5x)+sin(7x)=4cosxcos(2x)sin(4x)

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

Prove that : sin(3x)+sin(2x)-sinx=4sinxcos((x)/(2))cos((3x)/(2))

NCERT GUJARATI-TRIGONOMETRIC FUNCTIONS -EXERCISE 3.3
  1. Prove that cos((pi)/(4)-x)cos((pi)/(4)-y)-sin((pi)/(4)-x)sin((pi)/(4...

    Text Solution

    |

  2. (tan ((pi)/(4) +x))/( tan ((pi)/(4) -x ))= ((1 + tan x )/( 1- tan x ))...

    Text Solution

    |

  3. (cos (pi +x) cos (-x))/( sin (pi -x) cos ((pi )/(2) + x))= cot ^(2) x

    Text Solution

    |

  4. Prove that cos((3pi)/(2)+x)cos(2pi+x).{cot((3pi)/(2)-x)+cot(2pi+x)}=1

    Text Solution

    |

  5. Prove that sin(n+1)xsin(n+2)x+cos(n+1)xcos(n+2)x=cosx

    Text Solution

    |

  6. Prove that, cos((pi)/(4)+x)+cos((pi)/(4)-x)=sqrt(2)cosx.

    Text Solution

    |

  7. Prove that sin^(2)6x-sin^(2)4x=sin2xsin10x

    Text Solution

    |

  8. cos ^(2) 2x -cos ^(2) 6x = sin 4x sin 8x

    Text Solution

    |

  9. Prove that sin(2x)+2sin(4x)+sin(6x)=4cos^(2)xsin4x

    Text Solution

    |

  10. cot 4x (sin 5x + sin 3x) = cot x (sin 5x - sin 3x)

    Text Solution

    |

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

    Text Solution

    |

  12. (sin 5x + sin 3x )/( cos 5x + cos 3x ) = tan 4x

    Text Solution

    |

  13. (sin x - sin y)/( cos x + cos y) = tan ""(x-y)/(2)

    Text Solution

    |

  14. (sin x + sin 3x )/( cos x + cos 3x )= tan 2x

    Text Solution

    |

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

    Text Solution

    |

  16. Prove that (cos(4x)+cos(3x)+cos(2x))/(sin(4x)+sin(3x)+sin(2x))=cot(3...

    Text Solution

    |

  17. cot x cot 2x - cot 2x cot 3x - cot 3x cot x=1

    Text Solution

    |

  18. Prove that tan4x=(4tanx(1-tan^(2)x))/(1-6tan^(2)x+tan^(4)x)

    Text Solution

    |

  19. cos 4x =1- 8 sin ^(2) x cos ^(2) x

    Text Solution

    |

  20. cos 6x = 32 cos ^(6) x - 48 cos ^(4) x + 18 cos ^(2) x-1

    Text Solution

    |