Home
Class 11
MATHS
Prove that ("cos"(90^0+theta)"sec"(-thet...

Prove that `("cos"(90^0+theta)"sec"(-theta)"tan"(180^0-theta))/("sec"(360^0-theta)"sin"(180^0+theta)"cot"(90^0-theta))=-1.`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|120 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

Prove the following: (cos(90^0-theta)sec(90^0-theta)t a ntheta)/(cosec(90^0-theta)sin(90^0-theta)cot(90^0-theta))+(tan(90^0-theta))/(cottheta)=2

Prove that : (sinthetacos(90^0-theta)costheta)/(sin(90^0-theta))+(costhetasin(90^0-theta)sintheta)/(cos(90^0-theta))=1

Prove that: (sin(180^0+theta)cos(90^0+theta)t a n(270^0-theta)cot(360^0-theta))/(sin(360^0-theta)cos(360^0+theta)cos e c(-theta)"sin"(270^0+theta))=1

Prove that (cos(90^(@)+theta)sec(270^(@)+theta)sin(180^(@)+theta))/(cosec(-theta)cos(270^(@)-theta)tan(180^(@)+theta))

The value of (cos(90^0-theta)sec(90^0-theta)tantheta)/(cos e c(90^0-theta)sin(90^0-theta)cot(90^0-theta))+(tan(90^0-theta))/(cottheta)"i s" 1 (b) -1 (c) 2 (d) -2

Prove that: (t a n(90^0-theta)s e c(180^0-theta)sin(-theta))/(sin(180^0+theta)cot(360^0-theta)cosec(90^0-theta))=1

Prove that (1+"cot"theta-"cosec"theta)(1+"tan"theta+"sec"theta)=2

Prove that: (cos e c(90^0+theta)+cot(450^0+theta))/(cos e c(90^0-theta)+t a n(180^0-theta))+(t a n(180^0+theta)+s e c(180^0-theta))/(t a n(360^0+theta)-s e c(-theta)) =2

(sin(90^(@)-theta)sec(180^(@)-theta)sin(-theta))/(sin(180^(@)+theta)cot(360^(@)-theta)"cosec"(90^(@)+theta)) .

Evaluate : cos e c(65^0+theta)-sec(25^0-theta)-tan(55^0-theta)+cot(35^0+theta)

RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the values of the following trigonometric ratio: sin(-1125^@)

    Text Solution

    |

  2. Prove that: cos510^0cos 330^0+sin 390^0cos 120^0=-1.

    Text Solution

    |

  3. Prove that ("cos"(90^0+theta)"sec"(-theta)"tan"(180^0-theta))/("sec"(3...

    Text Solution

    |

  4. If A ,\ B ,\ C ,\ D are angles of a cyclic quadrilateral, prove that c...

    Text Solution

    |

  5. Find the values of the following trigonometric ratio: sin ((5pi)/3) .

    Text Solution

    |

  6. Find the values of the following trigonometric ratio: sin 3060^@

    Text Solution

    |

  7. Find the values of the following trigonometric ratio: tan ((11pi)/6)

    Text Solution

    |

  8. Find the values of the following trigonometric ratio: cos (1125^@)

    Text Solution

    |

  9. Find the values of the following trigonometric ratio: tan315^0

    Text Solution

    |

  10. Find the values of the following trigonometric ratio: cosec\ (-1200^0)

    Text Solution

    |

  11. Find the values of the following trigonometric ratio: cos1755^0

    Text Solution

    |

  12. Find the values of the following trigonometric ratio: sin510^0

    Text Solution

    |

  13. Find the values of the following trigonometric ratio: tan(-585^0)

    Text Solution

    |

  14. Find the values of the following trigonometric ratio: sin 4530^0

    Text Solution

    |

  15. Find the values of the following trigonometric ratio: cos570^0

    Text Solution

    |

  16. Find the values of the following trigonometric ratio: cos 855^0

    Text Solution

    |

  17. Find the values of the following trigonometric ratio: "sin"(-330^0)

    Text Solution

    |

  18. Find the values of the following trigonometric ratio: sin1845^0

    Text Solution

    |

  19. Prove that: t a n 225^0cot 405^0+t a n 765^0cot 675^0=\ 0

    Text Solution

    |

  20. Prove that: sin ((8pi)/3) cos ((23pi)/6)+cos ((13pi)/3) sin ((35pi)/6)...

    Text Solution

    |