Home
Class 11
MATHS
Prove that : (cos(pi+theta)cos(-theta))/...

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

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

Prove that : (1+sin 2 theta-cos 2 theta)/(1+sin 2 theta+ cos 2 theta)= tan theta .

Prove that : cos (pi/4- theta)cos (pi/4-phi)-sin(pi/4-theta) sin (pi/4-phi)= sin (theta+phi) .

Prove that : cos2 theta cos frac (theta)(2)- cos3 theta cos frac (9 theta)(2)= sin 5 theta sin frac (5theta)(2).

Prove that : sin^8 theta- cos^8 theta= (sin^2 theta- cos^2 theta)(1-2 sin^2 theta cos^2 theta) .

Prove that : cos2 theta= cos^2 theta-sin^2 theta=1-2 sin^2 theta= 2 cos^2 theta-1 .

Prove that : (sin theta)/(1+cos theta) + (1+cos theta)/(sin theta)= 2 cosec theta .

Prove the following identity : (tan theta-cot theta)/ (sin theta cos theta)= sec^2 theta- cosec^2 theta .

Prove that (sin theta- "cosec" theta )(cos theta- sec theta )=(1)/(tan theta + cot theta).

Prove that (sin theta-cos theta+1)/(sin theta+cos theta-1)=1/(sec theta-tan theta) ,using the identity sec^2 theta=1+tan^2 theta .

Prove the following identity : (sin theta)/(1+cos theta)+ (sin theta)/(1-cos theta)= 2/(sin theta) .

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Prove that : 2 sin^2 frac (3pi)(4)+ 2cos^2 frac (pi)(4) +2 cos^2 frac...

    Text Solution

    |

  2. Prove that : 3 sin frac (pi)(6) sec frac (pi)(3)-4 sin frac (5pi)(6) c...

    Text Solution

    |

  3. Prove that : (cos(pi+theta)cos(-theta))/(sin (pi-theta) cos (pi/2+ the...

    Text Solution

    |

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

    Text Solution

    |

  5. Find ‘x’ from the equation : cosec (90^@ -theta) - x sin (90^@- theta)...

    Text Solution

    |

  6. Find ‘x’ from the equation : cosec (90^@ -theta) - x sin (90^@- theta)...

    Text Solution

    |

  7. In any quadrilateral ABCD, prove that: sin (A + B) + sin(C +D)=0.

    Text Solution

    |

  8. Find all the values of theta satisfying 0lt theta lt pi and tan^2 the...

    Text Solution

    |

  9. Find the period of the following function: sin 2x.

    Text Solution

    |

  10. Find the period of the following function: cos 3x.

    Text Solution

    |

  11. Find the period of the following function: tan 2x.

    Text Solution

    |

  12. If A, B, C and D be the angles of a cyclic quadrilateral, taken in ord...

    Text Solution

    |

  13. If x=(11 pi)/4, prove that : sin^2 x- cos^2 x+2 tan x- sec^2 x=1.

    Text Solution

    |

  14. If 8 theta=pi, prove that cos theta+ cos 7 theta=0.

    Text Solution

    |

  15. If B + C = 60^@, show that : sin (120^@- B) = sin (120^@ -C) .

    Text Solution

    |

  16. Prove that : sin^2 frac (pi)(8)+ sin^2 frac (3pi)(8)+ sin^2 frac (5pi)...

    Text Solution

    |

  17. Prove that : [1+ cot alpha- sec (pi/2+alpha)] [1+ cot alpha+ sec (pi/...

    Text Solution

    |

  18. In any triangle ABC, prove that : sin (A + B) = sin C.

    Text Solution

    |

  19. In any triangle ABC, prove that : cos frac (A+B)(2)= sin frac (C)(2).

    Text Solution

    |

  20. In any triangle ABC, prove that : tan frac (B+C-A)(2)= cot A.

    Text Solution

    |