Home
Class 14
MATHS
For alpha and beta both being acute ang...

For `alpha` and `beta` both being acute angles, it is given that `sin(alpha + beta) = 1,cos (alpha-beta)=1/2`. The values of `alpha` and `beta` are:
यदि `alpha` और `beta` दोनों न्यून कोण है तथा यह दिया गया है कि `sin(alpha + beta) = 1,cos (alpha-beta)=1/2` है, तो `alpha` और `beta` के मान ज्ञात करें |

A

`75^@,15^@`

B

`45^@,15^@`

C

`75^@,45^@`

D

`60^@,30^@`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SSC MATHS MAINS 2018 TRIGNOMETRY

    PINNACLE|Exercise Exercise|29 Videos
  • WORK AND TIME

    PINNACLE|Exercise EXERCISE|209 Videos

Similar Questions

Explore conceptually related problems

For alpha and beta both being acute angles, it is given that sin (alpha+beta)=1, cos (alpha-beta)=1/2 . The value of alpha and beta are: alpha और beta दोनों न्यून कोण है, और यह दिया गया है कि sin (alpha+beta)=1, cos (alpha-beta)=1/2 है। तो alpha और beta का मान क्या होगा?

If sin alpha sin beta-cos alpha cos beta+1=0, then the value of 1+cot alpha tan beta is

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

sin alpha sin beta-cos alpha cos beta=1 then show that tan alpha+tan beta=0

sin alpha+sin beta=(1)/(4) and cos alpha+cos beta=(1)/(3) The value of cos(alpha+beta) is

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

If sin (alpha - beta) =1/2 and cos (alpha + beta) =1/2, where alpha and beta are positive acute angles, then alpha and beta are

If alpha and beta are two positive acute angles satisfying alpha-beta=15^(@) and sin alpha=cos2 beta then the value of alpha+beta

If alpha and beta are two positive acute angles satisfying alpha-beta=15^(@) and sin alpha=cos2 beta then find the value of alpha+beta

cos (alpha-beta) quad cos (alpha-beta), cos alpha1, cos betacos alpha, cos beta, 1] |

PINNACLE-TRIGONOMETRY-EXERCISE
  1. If ((sin theta-cosec theta)(cos theta- sec theta))/(tan^2 theta-sin^2 ...

    Text Solution

    |

  2. If sec theta=4x and tan theta=4/x, (x ne 0) then the value of 8(x^2-1/...

    Text Solution

    |

  3. For alpha and beta both being acute angles, it is given that sin(alph...

    Text Solution

    |

  4. For all alpha.i s, (i=1,2,3............20) lying between 0^@ and 90^@,...

    Text Solution

    |

  5. Which among the following is an irrational quantity? निम्न में से क...

    Text Solution

    |

  6. If sin theta+cosec theta=2, then what is the value of (sin^153 theta+c...

    Text Solution

    |

  7. If cosx = (-sqrt3)/2 and pi prec x prec (3 pi)/2, then the value of 4c...

    Text Solution

    |

  8. If 12cot^2 theta-31 cosec theta+32=0, 0^@< theta<90^@, then the values...

    Text Solution

    |

  9. If ((tan theta-sec theta+1)/(tan theta+sec theta-1)) sec theta=1/k, t...

    Text Solution

    |

  10. If (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+k, then k = ....

    Text Solution

    |

  11. When 2 sin^2 theta =3 cos theta, and 0letheta le90, then theta = जब...

    Text Solution

    |

  12. The value of (sin^2 60^@- cos^2 45^@+ sec 60^@+ cos^2 40^@+ cos^2 50^@...

    Text Solution

    |

  13. If tan theta=3/4, then (4 sin theta- cos theta)/(4 sin theta+ cos thet...

    Text Solution

    |

  14. If cot theta= 3/4, then sin theta+cos theta-tan theta is: यदि cot th...

    Text Solution

    |

  15. The value of sec^2 28^@-cot^2 62^@+ sin^2 60^@+ cosec^2 30^@ is equal ...

    Text Solution

    |

  16. If tan 4 theta=cot(2 theta+30^@), then theta is equal to: यदि tan ...

    Text Solution

    |

  17. The value of cot^2 62^@- sec^2 28^@+ cosec^2 30^@+ tan^2 60^@ is equal...

    Text Solution

    |

  18. If Sin theta= Cos(50^@+theta), then theta is equal to: Sin theta=...

    Text Solution

    |

  19. The value of sin^2 48^@ +sin^2 42^@ - sec^2 30^@+ tan^2 60^@ is equal ...

    Text Solution

    |

  20. If Sec theta=13/5, then tan theta- Sin theta+Cos theta is equal to: ...

    Text Solution

    |