Home
Class 10
MATHS
Evaluate each of the following :- (tan...

Evaluate each of the following :-
`(tan^(2)60^(@)+4cos^(2)45^(@)+3sec^(2)30^(@)+5cos^(2)90^(@))/(cosec30^(@)+sec60^(@)-cot^(2)30^(@))`

Text Solution

Verified by Experts

The correct Answer is:
9
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Practice Thoroughly|19 Videos

  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise EXERCISE 8.1|18 Videos

  • INTRODUCTION TO TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Other Important Examples|28 Videos

  • COORDINATE GEOMETRY

    KUMAR PRAKASHAN|Exercise Objective Questions (True or false)|5 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    KUMAR PRAKASHAN|Exercise Test Your Skills|48 Videos

Similar Questions

Explore conceptually related problems

Evaluate each of the following : tan60^(@)cosec^(2)45^(@)+sec^(2)60^(@)tan45^(@)

Evaluate each of the following :- 2sin^(2)30^(@)-3cos^(2)45^(@)+tan^(2)60^(@)

Evaluate each of the following :- sin^(2)30^(@)+sin^(2)45^(@)+sin^(2)60^(@)+sin^(2)90^(@)

Evaluate each of the following :- 4/(cot^(2)30^(@))+1/(sin^(2)60^(@))-cos^(2)45^(@)

Evaluate each of the following : sin30^(@)cos45^(@)+cos30^(@)sin45^(@)

Evaluate each of the following :- (cosec^(2)45^(@)sec^(2)30^(@))(sin^(2)30^(@)+4cot^(2)45^(@)-sec^(2)60^(@))

Evaluate each of the following : tan30^(@)sec45^(@)+tan60^(@)sec30^(@)

Evaluate each of the following : 3cos^(2)30^(@)+sec^(2)30^(@)+2cos0^(@)+3sin90^(@)-tan^(2)60^(@)

Evaluate the following : (5cos^(2)60^(@)+4sec^(2)30^(@)-tan^(2)45^(@))/(sin^(2)30^(@)+cos^(2)30^(@))

Evaluate the following 2 tan ^(2) 45^(@) +cos^(2) 30 ^(@) -sin ^(2) 60^(@)

KUMAR PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Test Your Skills
  1. Evaluate each of the following :- (cosec^(2)45^(@)sec^(2)30^(@))(sin...

    Text Solution

    |

  2. Evaluate each of the following :- 4/(cot^(2)30^(@))+1/(sin^(2)60^(@)...

    Text Solution

    |

  3. Evaluate each of the following :- (tan^(2)60^(@)+4cos^(2)45^(@)+3sec...

    Text Solution

    |

  4. Find x if 2 sin 3x =sqrt3

    Text Solution

    |

  5. Find x if sqrt3 tan 2x = cos 60° + sin 45° cos 45°

    Text Solution

    |

  6. If A= 30° and B = 60°, verify that cos (A+ B) = cos A cos B - sin A si...

    Text Solution

    |

  7. Find acute angles A and B if sin (A+ 2B) =(sqrt3)/2 and cos (A+ 4B) = ...

    Text Solution

    |

  8. If A and B are acute angles such that tanA=1/2,tanB=1/3 and tan(A+B)=(...

    Text Solution

    |

  9. Evaluate the following : (tan35^(@))/(cot55^(@))+(cot78^(@))/(tan12^...

    Text Solution

    |

  10. Evaluate the following : (sin72^(@)+cos18^(@))(sin72^(@)-cos18^(@))

    Text Solution

    |

  11. Evaluate the following : sec50^(@)sin40^(@)+cos40^(@)cosec50^(@)

    Text Solution

    |

  12. Express each of the following in terms of trigonometric ratios of ang...

    Text Solution

    |

  13. Express each of the following in terms of trigonometric ratios of ang...

    Text Solution

    |

  14. Express each of the following in terms of trigonometric ratios of ang...

    Text Solution

    |

  15. Prove that : tan 20° tan 35° tan 45° tan 55° tan 70° = 1

    Text Solution

    |

  16. Prove that : (cos80^(@))/(sin10^(@))+cos59^(@)cosec31^(@)=2

    Text Solution

    |

  17. If sin theta = cos (theta-45°), where theta and theta- 45° are acute a...

    Text Solution

    |

  18. Evaluate : ( 1 ) cosec (65° +theta) -sec (25° - theta) - tan (55° + ...

    Text Solution

    |

  19. Express all the other trigonometric ratios of angleA in terms of sin ...

    Text Solution

    |

  20. If sintheta=1/3 find the value of 2cot^(2)theta+2.

    Text Solution

    |