Home
Class 10
MATHS
Prove the following: (cos(90^0-theta)se...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

(cos(90^(@)-theta).sec(90^(@)-theta).tantheta)/(cosec(90^(@)-theta).sin(90^(@)-theta).cot(90^(@)-theta))=?

The value of (cos(90^(0)-theta)sec(90^(@)-theta)tan theta)/(csc(90^(@)-theta)sin(90^(@)-theta)cot(90^(@)-theta))+(tan(90^(@)-theta))/(cot theta) is 1(b)-1(c)2(d)-2

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.

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

Prove that (cos(90^(@)+theta)sec(-theta)tan(180^(@)-theta))/(sec(360^(@)-theta)sin(180^(@)+theta)cot(90^(@)-theta))=-1

sin(90+theta)+cos(90-theta)+tan(180-theta)+cot(180+theta)

(cos theta)/(sin(90^(@)+theta))+(sin(-theta))/(sin(180^(@)+theta))-(tan(90^(@)+theta))/(cot theta)

(tan(90^@-theta) cot theta)/(cosec^2 theta)-cos^2 theta=0

sin theta cos(90^(@)-theta)+cos theta sin(90^(@)-theta)

Find the value of (sin theta)/(cos (90^@+theta))+(sin theta)/(sin (180^@+theta))+(tan(90^@+theta))/(cot theta)

RD SHARMA-TRIGONOMETRIC RATIOS-All Questions
  1. Evaluate : (2sin68^0)/(cos22^0)-(2cot15^0)/(5tan75^0)-(3tan45^0tan20^...

    Text Solution

    |

  2. Evaluate : ((3cos55^0) / (7sin35^0))-(4/7)(cos70^0cos e c20^0)/(tan5^0...

    Text Solution

    |

  3. Prove the following: (cos(90^0-theta)sec(90^0-theta)t a ntheta)/(cos ...

    Text Solution

    |

  4. Prove the following: (tan(90^0-A)cotA)/(cos e c^2A)-cos^2A=0

    Text Solution

    |

  5. Prove the following: sinthetasin(90^0-theta)-costhetacos(90^0-theta)=...

    Text Solution

    |

  6. In a /\A B C , right angled at B , if A B=4 and B C=3 , find all t...

    Text Solution

    |

  7. In a /\A B C , right angled at B , if A B=12 and B C=5 , find: (i) ...

    Text Solution

    |

  8. If sinA=3/5 , find cosA and tanA .

    Text Solution

    |

  9. If costheta=8/(17) , find the other five trigonometric ratios.

    Text Solution

    |

  10. In a right triangle A B C right angled at B, if sinA=3/5 , find a...

    Text Solution

    |

  11. If sinA=1/3, evaluate cosA\ cosec\ A+tanAsecA.

    Text Solution

    |

  12. In a right triangle A B C , right angled at C , if tanA=1 , then...

    Text Solution

    |

  13. If secalpha=5/4, evaluate (1-tanalpha)/(1+tanalpha).

    Text Solution

    |

  14. If sintheta=1/2, show that (3costheta - 4cos^3theta)=0

    Text Solution

    |

  15. If tanA=2 , evaluate secAsinA+tan^2A-cos e c\ A .

    Text Solution

    |

  16. Given /\ A C B right angled at C in which A B=29\ u n i t s , B C=21...

    Text Solution

    |

  17. If cotB=(12)/5 , prove that tan^2B-sin^2B=sin^4Bsec^2B .

    Text Solution

    |

  18. If secalpha=5/4 , verify that (tanalpha)/(1+tan^2alpha)=(sinalpha)/...

    Text Solution

    |

  19. If sintheta=4/5 , find the value of (4tantheta-5costheta)/(sectheta...

    Text Solution

    |

  20. In a right triangle A B C right angled at B , /A C B=theta , A B...

    Text Solution

    |