Home
Class 10
MATHS
If tan ((Pi)/(2) - (theta)/(2)) = sqrt3,...

If `tan ((Pi)/(2) - (theta)/(2)) = sqrt3`, the value of `cos theta` is____

A

0

B

`(1)/(sqrt2)`

C

1/2

D

1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Theorems related to Tangent to a Circle

    UNITED BOOK HOUSE|Exercise Exercise |29 Videos
  • Trigonometric Ratios of Complementry Angle

    UNITED BOOK HOUSE|Exercise Exercise |30 Videos

Similar Questions

Explore conceptually related problems

If theta + emptyset = (Pi)/(2) and sin theta = 1/2 then the value of sin emptyset is____

If tan (theta + 15^@) = sqrt3 , find the value of sin theta + cos theta .

If thetain((pi)/(2),(3pi)/(2)) , then the value of sqrt(4cos^(4)theta+sin^(2)2theta)+4cotthetacos^(2)((pi)/(4)+(theta)/(2)) is

If tan theta = -1/(sqrt(5)) , then the value of cos theta will be -

If tan (pi cos theta) = cot (pi sin theta), then the valus of cos (theta -(pi)/(4)) are-

If 0 lt theta lt (pi)/(2) and sin ""(theta)/(2)=sqrt((x-1)/(2x)), then the value of tan theta is-

If m tan (theta -30^(@)) = n tan (theta +120^(@)), then the value of cos 2 theta is -

If 0^(@) < theta < 90^(@) "and" cos theta + sin theta = sqrt2,"find the value of" cos 3 theta.

If tan2theta=cos(theta+15^(@)) then the value of theta is

UNITED BOOK HOUSE-Trigonometric Rations and Trigonometric Identities-Exercise
  1. Maximum value of sintheta + costheta is

    Text Solution

    |

  2. If costheta + sectheta = 2, then the value of cos^2017 theta + sec^201...

    Text Solution

    |

  3. If tan ((Pi)/(2) - (theta)/(2)) = sqrt3, the value of cos theta is

    Text Solution

    |

  4. If 2 sin ((pi)/(2)) = x^2 + (1)/(x^2) = , then the value of (x - (1)/(...

    Text Solution

    |

  5. If A=sin^2theta+cos^4theta then for all real values of theta

    Text Solution

    |

  6. If cos 0 = x^2 - x + 5/4, the value of x will be

    Text Solution

    |

  7. In triangleABC, angleB = 90^@ and AB : BC = 2 : 1. The value of sin A ...

    Text Solution

    |

  8. If cos theta + sin theta = sqrt2 cos theta, then cos theta - sin theta...

    Text Solution

    |

  9. If cos^4 theta - sin^4 theta = 2/3, then the value of (1 - 2 sin^2 the...

    Text Solution

    |

  10. If (cosalpha)/(cosbeta) = a and (sinalpha)/(sinbeta) = b, then the val...

    Text Solution

    |

  11. If theta is an acute angle and tan theta + cot theta = 2, then the val...

    Text Solution

    |

  12. If (2 tan^2 30^@)/(1 - tan^2 30^@) + sec^2 45^@ - sec^2 0^@ = x sec 60...

    Text Solution

    |

  13. Which one of the following is true for 0^@ < theta < 90^@?

    Text Solution

    |

  14. If cos^2 alpha - sin^2 alpha = tan^2 beta, then the value of (cos^2 be...

    Text Solution

    |

  15. For any values of sqrt frac(sec theta - 1)(sec theta + 1) = ?

    Text Solution

    |

  16. If 0^@ < A < 90^@, then the value of tan^2 A + cot^2 A - sec^2 A cosec...

    Text Solution

    |

  17. The vlaue of (2sin^3 theta - sin theta)/(costheta - 2 cos^3 theta) is ...

    Text Solution

    |

  18. If r sin theta =7/2 and r costheta = (7sqrt3)/(2) then value of r is

    Text Solution

    |

  19. If theta + emptyset = (Pi)/(2) and sin theta = 1/2 then the value of s...

    Text Solution

    |

  20. If a cos theta + b sin theta = p and asin theta - bcos theta = q, then...

    Text Solution

    |