Home
Class 11
MATHS
If t a nbeta=(nsinalphacosalpha)/(1-nsin...

If `t a nbeta=(nsinalphacosalpha)/(1-nsin^2alpha)` , show that `tan(alpha-beta)=(1-n)t a nalphadot`

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 costheta=(cosalpha cosbeta)/(1-sinalphasinbeta) , prove that one value of t a ntheta/2=(t a nalpha/2-t a nbeta/2)/(1-t a nalpha/2 t a nbeta/2)

If t a nalpha=x+1,tanbeta=x-1, show that 2cot(alpha-beta)=x^2dot

If cos theta=(cos alpha cos beta)/(1-sin alpha sin beta), prove that one value of tan (theta/2)=(tan (alpha/2)-tan (beta/2))/(1-tan (alpha/2) tan (beta/2)).

(sinalpha+sinbeta-sin(alpha+beta))/(sinalpha+sinbeta+sin(alpha+beta))=tan(alpha/2)tan(beta/2)

If cos theta=(cos alpha cos beta)/(1-sin alpha sin beta), prove that one value of (tan) theta/2=(tan alpha/2-tan beta/2)/(1-t a n alpha/2 tan beta/2).

If msintheta=nsin(theta+2alpha) , then prove that tan(theta+alpha)cotalpha=(m+n)/(m-n) .

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

If sin theta = n sin ( theta + 2 alpha ) , show that ( n -1) tan (theta + alpha ) + (n + 1) tan alpha = 0 .

lf cos^2 alpha -sin^2 alpha = tan^2 beta , then show that tan^2 alpha = cos^2 beta-sin^2 beta .

(1+tan alpha tan beta)^2 + (tan alpha - tan beta)^2 =

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Let A,B,C, be three angles such that A=pi/4 and tanB tanC=pdot Find ...

    Text Solution

    |

  2. Eliminate x from equations sin(a+x)=2b and sin(a-x)=2c.

    Text Solution

    |

  3. If t a nbeta=(nsinalphacosalpha)/(1-nsin^2alpha) , show that tan(alph...

    Text Solution

    |

  4. Prove that: (sinx)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27 x)=(1/2)(ta...

    Text Solution

    |

  5. If theta=3alphaand sintheta=a/(sqrt(a^2+b^2)), the value of the expre...

    Text Solution

    |

  6. The value of tan6^0tan42^0tan66^0tan78^0 is (a)1 (b) 1/2 (c) 1/...

    Text Solution

    |

  7. In triangle A B C , if angle is 90^0 and the area of triangle is 30 sq...

    Text Solution

    |

  8. If sqrt(2)cos A=cos B+cos^3B ,a n dsqrt(2)sinA=sinB-sin^3Bt h e nsin(A...

    Text Solution

    |

  9. In a right angled triangle the hypotenuse is 2sqrt(2) times the perpe...

    Text Solution

    |

  10. A circular ring of radius 3cm hangs horizontally from a point 4 cm ve...

    Text Solution

    |

  11. If tanbeta=2sinalphasingammacos e c(alpha+gamma), then cotalpha,cotbe...

    Text Solution

    |

  12. tan9-tan27-tan63+tan81=4

    Text Solution

    |

  13. Let x=sin1^0, then the value of the expression. 1/(cos0^0dotcos1^0)+...

    Text Solution

    |

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

    Text Solution

    |

  15. If x in (pi,(3pi)/2),then 4cos^2(pi/4-x/2)+sqrt(4sin^4x+sin^2 2x) is ...

    Text Solution

    |

  16. If cosx=(2cosy-1)/(2-cosy), where x , y in (0,pi) then tan(x/2)xxcot(y...

    Text Solution

    |

  17. If theta is eliminated from the equations x=a"cos"(theta-alpha) and y=...

    Text Solution

    |

  18. If tanx=b/a , then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b)) is equal to ...

    Text Solution

    |

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

    Text Solution

    |

  20. If cos2B=(cos(A+C))/("cos"(A-C)), then tanA ,t a n B ,tanC are in (...

    Text Solution

    |