Home
Class 11
MATHS
Prove the following: (cos(pi+x)cos(-x))/...

Prove the following: `(cos(pi+x)cos(-x))/(sin (pi-x) cos(pi/2+x))=cot^2x`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Prove the following : (cos 7x + cos 5x)/(sin 7x-sin 5x) =cot x .

Prove the following: cos((3pi)/2+x)cos(2pi+x)[cot((3pi)/2-x)+cot(2pi+x)]=1

Prove the following: cos(pi/4-x)cos(pi/4-y)-sin(pi/4-x)sin(pi/4-y)= sin (x+ y)

Prove the following: cos((3pi)/4+x)-cos((3pi)/4-x)=-sqrt2 sinx

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

Prove the following: (cos4x + cos3x + cos2x)/(sin4x + sin 3x + sin 2x)= cot 3x

Prove the following: cos^2 2x - cos^2 6x = sin 4x sin 8x

Prove that : cos^2 (pi/8+x/2)-sin^2 (pi/8-x/2)= 1/sqrt2 cos x .

Evaluate the following: underset(0)overset(pi)int(sin^2(x/2)-cos^2(x/2))dx

Prove that int_(0)^(pi//2) (sin x -cos x)/(1+sin x cos x)dx = 0 .

PSEB-TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Prove the following: cos(pi/4-x)cos(pi/4-y)-sin(pi/4-x)sin(pi/4-y)= si...

    Text Solution

    |

  2. Prove the following: (tan(pi/4+x))/(tan(pi/4-x))=((1+tanx)/(1-tanx))^2

    Text Solution

    |

  3. Prove the following: (cos(pi+x)cos(-x))/(sin (pi-x) cos(pi/2+x))=cot^2...

    Text Solution

    |

  4. Prove the following: cos((3pi)/2+x)cos(2pi+x)[cot((3pi)/2-x)+cot(2pi+x...

    Text Solution

    |

  5. Prove the following: sin (n + 1)x sin (n + 2)x + cos (n + 1)x cos (n +...

    Text Solution

    |

  6. Prove the following: cos((3pi)/4+x)-cos((3pi)/4-x)=-sqrt2 sinx

    Text Solution

    |

  7. Prove the following: sin^2 6x-sin^2 4x = sin 2x sin 10x

    Text Solution

    |

  8. Prove the following: cos^2 2x - cos^2 6x = sin 4x sin 8x

    Text Solution

    |

  9. Prove the following: sin2 x + 2 sin 4x + sin 6x = 4 cos^2 x sin 4x

    Text Solution

    |

  10. Prove the following: cot 4x (sin 5x + sin 3x) = cot x (sin 5x -sin 3x)

    Text Solution

    |

  11. Prove the following: (cos9x -cos5x)/(sin17x-sin3x)=-(sin2x)/(cos10x)

    Text Solution

    |

  12. Prove the following: (sin5x + sin 3x)/(cos5x + cos3x)=tan4x

    Text Solution

    |

  13. Prove the following: (sin x-sin y)/(cosx + cos y)=tanfrac(x-y)(2)

    Text Solution

    |

  14. Prove the following: (sinx + sin3x)/(cosx + cos3x)=tan 2x

    Text Solution

    |

  15. Prove the following: (sin x -sin 3x)/(sin^2 x -cos^2 x)= 2sinx

    Text Solution

    |

  16. Prove the following: (cos4x + cos3x + cos2x)/(sin4x + sin 3x + sin 2x)...

    Text Solution

    |

  17. Prove the following: cot x cot 2x -cot 2x cot 3x -cot 3x cot x = 1

    Text Solution

    |

  18. Prove the following: tan 4x =(4tan x (1-tan^2x))/(1-6 tan^2x + tan^4x)

    Text Solution

    |

  19. Prove the following: cos 4x = 1 - 8sin^2 x cos^2 x

    Text Solution

    |

  20. Prove the following: cos 6x = 32 cos^6 x -48cos^4 x + 18 cos^2 x - 1

    Text Solution

    |