Home
Class 11
MATHS
Show that '(1-cos 2x + sin x)/(sin 2x + ...

Show that '(1-cos 2x + sin x)/(sin 2x + cos x) = tan x'

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPOUND AND MULTIPLE ANGLES

    ICSE|Exercise CHEPTER TEST |23 Videos

  • COMPOUND AND MULTIPLE ANGLES

    ICSE|Exercise EXERCISE 5 (C ) |30 Videos

  • COMPLEX NUMBERS

    ICSE|Exercise Chapter Test|25 Videos

  • CONIC SECTIONS

    ICSE|Exercise Multiple Choice Questions |33 Videos

Similar Questions

Explore conceptually related problems

Prove that : (sin x + sin 3x)/(cos x + cos 3x) = tan 2x

(sin 7x + sin 3x )/(cos 7x + cos 3x ) = tan 5x.

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

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

Prove that : (sin x + sin y)/(cos x + cos y) = tan ((x+y)/2)

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

Prove that (sin 5x - 2 sin 3 x + sin x )/( cos 5 x - cos x ) = tan x

tan^(-1) ((1-cos x)/(sin x))

Prove that (1+cos x)/(sin x) = (cos( x/2))/(sin (x/2))

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

ICSE-COMPOUND AND MULTIPLE ANGLES -EXERCISE 5 (D)
  1. Prove that cosec A -2 cot 2 A cos A = 2 sin A.

    Text Solution

    |

  2. (1 + sin 2x + cos 2x )/( cos x + sin x ) = 2 cos x

    Text Solution

    |

  3. Show that '(1-cos 2x + sin x)/(sin 2x + cos x) = tan x'

    Text Solution

    |

  4. (sin theta + sin 2 theta)/( 1 + cos theta + cos 2 theta) = tan theta.

    Text Solution

    |

  5. cot A =1/2 (cot ""(A)/(2) - tan "" (A)/(2)).

    Text Solution

    |

  6. (cos A + sin A )/( cos A - sin A) - (cos A - sin A )/(cos A + sin A )...

    Text Solution

    |

  7. (cos A - sin A )/( cos A + sin A ) = sec 2 A - tan 2 A.

    Text Solution

    |

  8. Prove that (sin 2 A )/(1- cos 2 A ) . (1- cos A )/( cos A ) = tan ""(A...

    Text Solution

    |

  9. Prove that : 2 cos A = sqrt ([2 + sqrt (2 (1 + cos 4 A))]) , A in I or...

    Text Solution

    |

  10. tan 2 A = (sec 2 A +1 ) sqrt ( (sec ^(2) A -1)) , A belongs to I or IV...

    Text Solution

    |

  11. Prove that (sec 8A-1)/( sec 4 A -1) = ( tan 8 A)/( tan 2A).

    Text Solution

    |

  12. Prove that tan 2 A - sec A sin A = tan A sec 2 A.

    Text Solution

    |

  13. Prove that (cos A + cos B ) ^(2) +(sin A + sin B) ^(2) = 4 cos ^(2) ((...

    Text Solution

    |

  14. Prove that (cos A - cos B) ^(2) + (sin A - sin B ) ^(2) = 4 sin ^(2) (...

    Text Solution

    |

  15. Prove that: cos ^(4) ""(pi)/(8) + cos ^(4) ""(3pi)/(8) + sin ^(4) "" (...

    Text Solution

    |

  16. sin ^(4) "" (pi)/(8) + sin ^(4) "" (3pi)/(8) + sin ^(4) "" (5pi)/(8) +...

    Text Solution

    |

  17. cos alpha cos(60^(@) - alpha ) cos (60^(@) + alpha ) = 1/4 cos 3 alpha...

    Text Solution

    |

  18. (cos ^(3) alpha - cos 3 alpha )/( cos alpha ) + (sin ^(3)alpha + sin 3...

    Text Solution

    |

  19. cos ^(2) 2 theta - sin ^(2) theta = cos theta . cos 3 theta.

    Text Solution

    |

  20. 1 + (cos 2 theta + cos 6 theta)/(cos 4 theta) = (sin 3 theta)/(sin t...

    Text Solution

    |