Home
Class 11
MATHS
If tanalpha=1/7,sinbeta=1/(sqrt(10)), pr...

If `tanalpha=1/7,sinbeta=1/(sqrt(10)),` prove that`alpha+2beta=pi/4` , where `0

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If cosalpha=1/(sqrt(2)),sinbeta=1/(sqrt(3)) , show that tan((alpha+beta)/2)cot((alpha-beta)/2)=5+2sqrt6 or 5-2sqrt6

sinalpha=1/(sqrt(10))*sinbeta=1/(sqrt(5)) (where alpha,beta and alpha+beta are positive acute angles). show that alpha+beta = pi/4

If sqrt2(sin alpha)/(sqrt(1+cos2 alpha))=1/7 and sqrt((1-cos2beta)/2)=1/(sqrt(10)) alpha, beta in (0, pi/2) then tan (alpha + 2 beta) is equal to _________

if alpha=(-1+sqrt(-3))/2 , beta=(-1-sqrt(-3))/2 then prove that alpha/beta+beta/alpha +1=0

If sinalpha=1/sqrt5 and sinbeta=3/5 , then beta-alpha lies in

If tanalpha =(1)/(7) and tanbeta =(1)/(3) , then, cos2alpha is equal to

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

Let (sqrt(2)sin alpha)/sqrt(1+cos 2alpha)=1/7 and sqrt((1-cos2 beta)/2)=1/sqrt(10) where alpha,beta in (0,pi/2) . Then tan(alpha+2beta) is equal to

If (sqrt(2)cos alpha)/sqrt(1-cos2 alpha)=1/7 and sqrt((1+cos 2 beta)/2)=1/sqrt10,alpha,beta in (pi/2,pi) , then tan (2 alpha - beta) is equal to ........

If cosalpha+cosbeta=0=sinalpha+sinbeta , then prove that cos2alpha +cos2beta=-2cos(alpha +beta) .

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Prove that (cosA-cosB)^2+(sin A-sin B)^2=4sin^2((A-B)/2)

    Text Solution

    |

  2. Let f(x)=2 cosec 2x + sec x+cosec x, then the minimum value of f(x) fo...

    Text Solution

    |

  3. If tanalpha=1/7,sinbeta=1/(sqrt(10)), prove thatalpha+2beta=pi/4 , whe...

    Text Solution

    |

  4. Prove that (1+sin2theta)/(1-sin2theta)=((1+tantheta)/(1-tantheta))^2

    Text Solution

    |

  5. Prove that (1-tan^2(pi/4-A))/(1+tan^2(pi/4-A))=sin2Adot

    Text Solution

    |

  6. If alpha+beta=90^0 , find the maximum and minimum values of sinalphas...

    Text Solution

    |

  7. Find the maximum and minimum values of cos^2theta-6sinthetacostheta+3s...

    Text Solution

    |

  8. If p(x)=sinx(sin^3x+3)+cosx(cos^3x+4)+(1/2)sin^2 2x+5, then find the ...

    Text Solution

    |

  9. The value of cos e cpi/(18)-4sin(7pi)/(18) is

    Text Solution

    |

  10. If A+B+C=(3pi)/2, t h e ncos2A+cos2B+cos2C is equal to (a) 1-4cos Ac...

    Text Solution

    |

  11. Prove that: (costheta)/(1+sintheta)=tan(pi/4-theta/2)

    Text Solution

    |

  12. If A,B,C, are the angles of a triangle such that cot(A/2)=3tan(C/2), ...

    Text Solution

    |

  13. The maximum value of cos^2(45^0+x)+(sinx-cosx)^2 is

    Text Solution

    |

  14. Let alpha,betaa n dgamma be some angles in the first quadrant satisfyi...

    Text Solution

    |

  15. If tanx=ntany ,n in R^+, then the maximum value of sec^2(x-y) is eq...

    Text Solution

    |

  16. Prove that: (1+sintheta-costheta)/(1+sintheta+costheta)=tantheta/2

    Text Solution

    |

  17. The greatest integer less than or equal to 1/(cos290^0)+1/(sqrt(3)sin2...

    Text Solution

    |

  18. If alt=3cosx+5sin(x-pi/6)lt=b for all x then (a , b) is (a)(-sqrt(...

    Text Solution

    |

  19. Prove that: (cos2theta)/(1+sin2theta)=tan(pi/4-theta)

    Text Solution

    |

  20. If sin(x+20^0)=2sinxcos40^0,where in (0,pi/2), then which of the foll...

    Text Solution

    |