Home
Class 14
MATHS
What is the value of sin^(3) 60^(@) cot ...

What is the value of `sin^(3) 60^(@) cot 30^(@) - 2 sec^(2) 45^(@) + 3 cos 60^(@) tan 45^(@) - tan^(2) 60^(@)` ?

A

`(35)/(8)`

B

`(-35)/(8)`

C

`(-11)/(8)`

D

(11)/(8)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIO OF SPECIFIC ANGLES

    LUCENT PUBLICATION|Exercise Exercise 10B|10 Videos
  • TRIGONOMETRIC RATIO OF SPECIFIC ANGLES

    LUCENT PUBLICATION|Exercise Exercise 10B|10 Videos
  • QUADRILATERAL

    LUCENT PUBLICATION|Exercise Exercise 7B|6 Videos

Similar Questions

Explore conceptually related problems

The value of sin^(2) 60^(@) + 2 tan 45^(@) - cos^(2) 30^(@) is :

What is the value of (sin 60^(@))/( cos^(2) 45^(@) ) - 3 tan 30^(@) + 5 cos 90^(@)

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

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

2tan ^ (2) 45 ^ (@) - + cos ^ (2) 30 ^ (@) - sin ^ (2) 60 ^ (@) is

The value of (sin 30^(@) - cos 60^(@) + tan 45^(@))/(cos 90^(@) + tan 45^(@) + sin 90^(@)) is

What is the value of (tan^4 60^@-sin^4 90^@ ) - 2(tan^2 45^@ +3 cos ^2 0^@)

LUCENT PUBLICATION-TRIGONOMETRIC RATIO OF SPECIFIC ANGLES-Exercise 10A
  1. value of (5sin75^(@)sin77^(@)+2cos13^(@)cos15^(@))/(cos15^(@)sin77^(@)...

    Text Solution

    |

  2. If 0 lt x lt 45^(@) and 45^(@) lt y lt 90^(@), then which one of the f...

    Text Solution

    |

  3. What is the value of sin^(3) 60^(@) cot 30^(@) - 2 sec^(2) 45^(@) + 3 ...

    Text Solution

    |

  4. If tan theta = (p)/(q), then what is (p sec theta - q cosec theta)/(p ...

    Text Solution

    |

  5. The value of cosec^(2) theta -2 + sin^(2) theta is always

    Text Solution

    |

  6. If cot theta = (2xy)/(x^(2) - y^(2)), then what is cos theta equal to ...

    Text Solution

    |

  7. For what value of theta, is (tan theta + cosec theta) = 2.5 where 0 lt...

    Text Solution

    |

  8. If 0ltthetaltphilt90^(@) then which one of the following is true ?

    Text Solution

    |

  9. If tantheta=(2t)/(1-t^(2)) then sin theta+cos theta equals

    Text Solution

    |

  10. If 0 le theta lt pi/2 and p= ssec^(2)theta then which one of the follo...

    Text Solution

    |

  11. In a triangle ABC, angleABC = 90^(@), angleACB = 30^(@), AB= 5 cm. Wha...

    Text Solution

    |

  12. If 0 le theta lt pi/2 and costheta + sqrt(3) sin theta =2, then what ...

    Text Solution

    |

  13. Suppose ABC is a right angled triangle with right angled at C . If len...

    Text Solution

    |

  14. ABC is a right triangle with right angle at A. If the value of tan B =...

    Text Solution

    |

  15. If alpha is an acute angle and sinalpha = sqrt((x-1)/(2x)), then what ...

    Text Solution

    |

  16. If theta is in first quadrant and costhetage(1)/(2) then which one of ...

    Text Solution

    |

  17. What is the value of cos1^(@) cos2^(@)cos3^(@).....cos270^(@) ?

    Text Solution

    |

  18. IF A=pi//6 and B=pi//3 then which of the following is/are correct? 1...

    Text Solution

    |

  19. If sin17^(@)=(a)/(b) then value of sec17^(@)-sin73^(@) is

    Text Solution

    |

  20. Assume the Earth to be a sphere of radius R. What is the radius of the...

    Text Solution

    |