Home
Class 12
MATHS
If 2 sin 2alpha=tan beta,alpha,beta, in(...

If `2 sin 2alpha=tan beta,alpha,beta, in((pi)/(2),pi)`, then the value of `alpha+beta` is

A

`(3pi)/(4)`

B

`pi`

C

`(3pi)/(2)`

D

`(5pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
It is true when `x=(pi)/(2),y=(pi)/(4)`
`tan y=1rArr(2tan((y)/(2)))/(1-tan^(2)((y)/(2)))=1`
`rArr tan^(2)((y)/(2))+2tan((y)/(2))=1`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Exercise (Multiple)|22 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Exercise (Comprehension)|20 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Exercise 3.10|5 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Multiple Correct Answers Type|6 Videos

Similar Questions

Explore conceptually related problems

If 2|sin2 alpha|=|tan beta+cot beta|,alpha,beta in((pi)/(2),pi) then the value of alpha+beta is (a) (3 pi)/(4) (b) pi(c)(3 pi)/(2) (d) (5 pi)/(4)

Ifsin^(4)alpha+cos^(4)beta+2=4sin alpha cos beta,0<=alpha,beta<=(pi)/(2) then find the value of (sin alpha+cos beta)

sin(theta+alpha)=a sin(theta+beta)=b(0

csc^(2)(alpha+beta)-sin^(2)(beta-alpha)+sin^(2)(2 alpha-beta)=cos^(2)(alpha-beta) where alpha,beta in(0,(pi)/(2)), then sin(alpha-beta) is equals

If sin (alpha + beta)=1, sin (alpha- beta)= (1)/(2) , then tan (alpha + 2beta) tan (2alpha + beta) =

If tan alpha.tan beta=a and alpha+beta=(pi)/(3) then tan alpha and tan beta are the roots of the equation

If sin(alpha+beta)=1 and sin(alpha-beta)=(1)/(2), where 0<=,beta<=(pi)/(2) ,then find the values of tan(alpha+2 beta) and tan(2 alpha+beta)

CENGAGE-TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS-Exercise (Single)
  1. If t a n^2theta=2t a n^2varphi+1 , prove that cos2theta+s in^2varphi=0...

    Text Solution

    |

  2. If sinx+co secx+tany=4 whre x and y in[0,(pi)/(2)] then tan""(y)/(2)...

    Text Solution

    |

  3. If 2 sin 2alpha=tan beta,alpha,beta, in((pi)/(2),pi), then the value o...

    Text Solution

    |

  4. If 2|sin2alpha|=tanbeta+cotbeta|,alpha,beta in (pi/2pi), then the valu...

    Text Solution

    |

  5. The value of sin^3 10^0+sin^3 50^0-sin^3 70^0 is equal to

    Text Solution

    |

  6. Let P(x)=((1-cos2x+sin2x)/(1+cos2x+s in2x))^2+((1+cotx+cot^2x)/(1+tanx...

    Text Solution

    |

  7. If (3-tan^(2)""(pi)/(7))/(1-tan^(2)""(pi)/(7))=kcos""(pi)/(7) then the...

    Text Solution

    |

  8. cos e c(360^0)/7+cos e c(540^0)/7= cos e c(180^0)/7 (b) cos e c(90^0...

    Text Solution

    |

  9. If theta1a n dtheta2 are two values lying in [2,2pi] for which t a nth...

    Text Solution

    |

  10. If tantheta=sqrt(n), where n in N ,geq2,t h e nsec2theta is always a ...

    Text Solution

    |

  11. If sin2theta=cos3theta and theta is an acute angle , then sintheta is ...

    Text Solution

    |

  12. If cosx= tany, cosy= tanz and cosz= tanx, prove that sinx= siny= sinz ...

    Text Solution

    |

  13. The value of cot70^(@)+4cos70^@ is

    Text Solution

    |

  14. If sinx+cosx=sqrt7/2 where xin[0,pi/4] then tan(x/2) is equal to

    Text Solution

    |

  15. If (tan3A)/(tanA)=k(k!=1) then which of the following is not true? (co...

    Text Solution

    |

  16. If x in (pi,(3pi)/2),t h e n4cos^2(pi/4-x/2)+sqrt(4sin^4x+sin^2 2x) is...

    Text Solution

    |

  17. If cosx=(2cosy-1)/(2-cosy), where x , y in (0,pi) then tanx/2coty/2 is...

    Text Solution

    |

  18. cot16^0cot44^0+cot44^0cot76^0-cot76^0cot16^0= 1 (b) 2 (c) 3 (d) ...

    Text Solution

    |

  19. If tan x = b/a then sqrt((a+b)/(a-b)) + sqrt((a-b)/(a+b)) is equal to

    Text Solution

    |

  20. Given that (1+sqrt(1+x))tany=1+sqrt(1-x) . Then sin4y is equal to 4x ...

    Text Solution

    |