Home
Class 11
MATHS
If : sin (alpha + beta)=1 and sin (alpha...

If : `sin (alpha + beta)=1 and sin (alpha-beta)=(1)/(2),` `"then" : tan (alpha+2beta)*tan(2alpha+beta)=` A)-1 B)0 C)1 D)2

A

-1

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|175 Videos

  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQS|160 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE

    MARVEL PUBLICATION|Exercise MCQs|101 Videos

Similar Questions

Explore conceptually related problems

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

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

If 3 sin beta=sin(2alpha+beta) , then tan (alpha+beta)-2 tan alpha is

If sin alpha=1/2 and cos beta=1/2 then alpha+beta=

If sin(alpha+beta)=1,sin(alpha-beta)=(1)/(2) where alpha,beta in[0,(pi)/(2)], then tan(alpha+2 beta)tan(2 alpha+beta) is equal to

If : 1+sin alpha * sin beta-cos alpha* cos beta=0" ""then" : tan alpha*cot beta=

sin(alpha+beta)=1 and sin(alpha-beta)=(1)/(2)quad 0<=alpha,beta,<=(pi)/(2), then find tan(alpha+2 beta) and tan(2 alpha+beta)

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)

If sin2 alpha=4sin2 beta, show that 5tan(alpha+beta)=3tan(alpha+beta)

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MCQs
  1. If A,B,C are in A.P then (sinA-sinC)/(cosC-cosA)=

    Text Solution

    |

  2. If costheta=1/2(x+1/x) then 1/2(x^2+1/x^2)=

    Text Solution

    |

  3. If : sin (alpha + beta)=1 and sin (alpha-beta)=(1)/(2), "then" : tan ...

    Text Solution

    |

  4. If cos25^0+sin25^0=p , then cos50^0 is sqrt(2-p^2) (b) -sqrt(2-p^2) ...

    Text Solution

    |

  5. The numerical value of (4)/(3) cot^(2)30^(@)-2csc^(2)60^(@)-(3)/(4) t...

    Text Solution

    |

  6. The numerical value of 3csc^(2)""(pi)/(3) + 4 sin^(2)""(pi)/(4)=A)3 B)...

    Text Solution

    |

  7. (tan60^(@)+sec60^(@)-1)/(tan60^(@)-sec60^(@)+1)A)sec30^(@)+2cos60^(@) ...

    Text Solution

    |

  8. If theta is an acute angle such that 4sin^(2) theta-2(sqrt3+1)sinthet...

    Text Solution

    |

  9. If theta is an acute angle such that 2 sin^(2)theta - 2sqrt2 * sin th...

    Text Solution

    |

  10. If A and B are acute angles such that cot(A+B)=1 and cosec(A-B) =2,"...

    Text Solution

    |

  11. If A and B are acute angles such that 2 cos A*cot B-2cos A-cot B+1=0...

    Text Solution

    |

  12. Find the acute angle A and B such that sec A * tan B -sec A -2 tan B...

    Text Solution

    |

  13. If tan^(2) theta-4sqrt3 * tan theta+3=0,"then" : tan theta=

    Text Solution

    |

  14. prove that: sin^2 3 0^(@)+sin^2 4 5^(@)+sin^2 6 0^(@)=3/2

    Text Solution

    |

  15. prove that: 4 cot^2(45^ @) - sec^2(60^ @)+ sin^2(30^ @) = 1/8

    Text Solution

    |

  16. [(1-tan^(2)30^(@))div(1+tan^(2)30^(@))]-sin30^(@)=A)-1 B)0 C)1 D)2

    Text Solution

    |

  17. 2sin 60^(@)-cos180^(@)+(1//3)sin270^(@)=A)sqrt2+(3)/(2) B)sqrt3+(2)/(3...

    Text Solution

    |

  18. If cos theta=-3//5,"where" piltthetalt(3pi//2), "then" : (cssc theta+...

    Text Solution

    |

  19. If sin theta=3//5,"where" (pi//2)ltthetaltpi, "then" : (sectheta-tant...

    Text Solution

    |

  20. If tan theta=1/sqrt7,then (c o s e c^2theta-sec^2theta)/(c o s e c^2th...

    Text Solution

    |