Home
Class 14
MATHS
If sinalpha+cosbeta=2(o^(@)lebetaltalph...

If `sinalpha+cosbeta=2(o^(@)lebetaltalphale90^(@))` , then `sin((2alpha+beta)/(3))=`

A

`sin.(alpha)/(2)`

B

`cos.(alpha)/(3)`

C

`sin.(alpha)/(3)`

D

`cos.(2alpha)/(3)`

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

If sinalpha+cosbeta=5/4 and cosalpha+sinbeta=3/4 , then value of sin(alpha+beta)=?

If sinalpha=(1)/(3) and cosbeta=(4)/(5), " then find " sin(alpha+beta) .

If 3sin alpha=5sin beta then the value of tan((alpha+beta)/(2))tan((alpha-beta)/(2))

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-sin beta=(1)/(3) and cos beta-cos alpha=(1)/(2) show that (cot(alpha+beta))/(2)=(2)/(3)

If sinalpha+sinbeta=a and coslapha+cosbeta=b then prove that sin(alpha+beta)=(2ab)/(a^2+b^2)

If 3 sin alpha=5 sin beta , then (tan((alpha+beta)/2))/(tan ((alpha-beta)/2))=

(sinalpha cos beta+cos alpha sin beta)^2+(cos alpha cos beta-sin alpha sin beta)^2=1

sinalpha=(1)/(2) cos beta=(1)/(2) then alpha+beta=

If 3sin alpha=5sin beta, then (tan((alpha+beta)/(2)))/(tan((alpha-beta)/(2)))=

LUCENT PUBLICATION-TRIGONOMETRIC RATIO OF SPECIFIC ANGLES-Exercise 10A
  1. In DeltaABC, /ABC=60^(@) and AD is perpendicular from A to BC . If AB=...

    Text Solution

    |

  2. If 0^(@)lethetale90^(@) then for any value of theta which one is corre...

    Text Solution

    |

  3. If 0^@ lt theta lt 90^@, then the value of sin theta + cos theta is

    Text Solution

    |

  4. If sin theta+cosec theta=2 then value of sin^(4)theta+cos^(4)theta ?

    Text Solution

    |

  5. If sec theta = (13)/( 5) , then what is the value of (2 sin theta - ...

    Text Solution

    |

  6. If 0^(@)lexle90^(@) and sinx+sqrt(3)cosx=1 , then what is the value of...

    Text Solution

    |

  7. In a right angled DeltaABC if /B=90^(@),AC=2sqrt(5) and AB-BC=2 then w...

    Text Solution

    |

  8. Statement (A) : If tantheta+cottheta=2 , then for all n epsilon N, tan...

    Text Solution

    |

  9. What is the value of expression cos^(2)((pi)/(8))+4cos^(2)((pi)/(4))-s...

    Text Solution

    |

  10. If qcosectheta=p and theta is acute then value of (sqrt(p^(2)-q^(2)))t...

    Text Solution

    |

  11. If 2x^(2)cos 60^(@)-4cot^(2)45^(@)-2tan 60^(@)=0, then what is the val...

    Text Solution

    |

  12. If 13 cos theta=12k-5 where 0lethetale90^(@) and k is an integer then ...

    Text Solution

    |

  13. Statement (A) : tan50^(@)gt1 Reason (R ) : For 0^(@)ltthetalt90^(@),...

    Text Solution

    |

  14. Which one of the following is true ?

    Text Solution

    |

  15. (kcosec^(2)30^(@).sec^(2)45)/(8cos^(2)45^(@).sin^(2)60^(@))=tan^(2)60^...

    Text Solution

    |

  16. If sinalpha+cosbeta=2(o^(@)lebetaltalphale90^(@)) , then sin((2alpha...

    Text Solution

    |

  17. Find the value of cot10^(@).cot20^(@).cot60^(@).cot70^(@).cot80^(@).

    Text Solution

    |

  18. If tantheta=1, then the value of (8sintheta+5cos theta)/(sin^(3)thet...

    Text Solution

    |

  19. What of the value of tan.(pi)/(8).tan.(pi)/(12).tan.(pi)/(4).tan.(3pi)...

    Text Solution

    |

  20. If tan15^(@)=2-sqrt(3) then value of tan15^(@)cot75^(@)+tan75^(@)cot15...

    Text Solution

    |