Home
Class 10
MATHS
sin A + cos B = 2 then tan((A + B)/(2)) ...

`sin A + cos B = 2` then `tan((A + B)/(2))` equals____

A

`prop`

B

1

C

`(1)/(sqrt3)`

D

`sqrt3`

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

It A + B = 90^@ , then (tan A tan B + tan A cot B)/(sin A sec B) - (sin^2 B)/(cos^2 A) is equal to____

Is (sin A )/( cos A) equal to tan A ?

If sin A +sin B =2, then the value of cos (A+B) is-

ABCD is a cyclic quadrilateral and tan (A/2) tan (C/2) + tan (B/2) tan (D/2) equals_____

(ii) (b-c) cos( A/2) = a sin ((B-C)/2)

If A + B + C = pi " and " cos A = cos B cos C, "show that" tan A = tan B + tan C

If sin A = m sin B, "prove that" "tan" (A-B)/2 = (m-1)/(m+1) "tan" (A+B)/2

Prove that (sin A-sin B)/(cos A+ cos B) = "tan" (A-B)/2

In any triangle ABC if sin A sin B sin C+ cos A cos B=1 , then show that a:b:c=1:1: sqrt(2) .

If cos A = tan B , cos B= tan C, cos C= tanA , show that sin A= sin B= sin C= 2 sin 18^(@)

UNITED BOOK HOUSE-Trigonometric Rations and Trigonometric Identities-Exercise
  1. If 2 sin ((pi)/(2)) = x^2 + (1)/(x^2) = , then the value of (x - (1)/(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If theta = 60^@, then 1/2 sqrt1 + sin theta + 1/2 sqrt1 -sin theta is ...

    Text Solution

    |

  19. sin A + cos B = 2 then tan((A + B)/(2)) equals

    Text Solution

    |

  20. If cos^4 theta + cos^2 theta = 1 then the value of (tan^4 theta + tan^...

    Text Solution

    |