Home
Class 12
MATHS
If tan theta= sqrt((a-b)/(a+b))"tan"(A)/...

If `tan theta= sqrt((a-b)/(a+b))"tan"(A)/(2) and cos varphi =(b+ a cos A)/(a+ b cosA)`, show that `varphi = 2 theta`.

Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise ALGEBRA|141 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2026|23 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

2 tan ^(-1) (sqrt((a-b)/(a+b))tan""(x)/(2))=cos^(-1)""(acos x+b)/(a+b cos x)

If tan theta = (2x - K)/(K sqrt3) " and " tan varphi = (xsqrt3)/(2 K-x), "then show that" |varphi - theta| = 30^(@).

if tan (theta/2)=sqrt((1-e)/(1+e)) tan (varphi/2) ,then prove that cos varphi=(costheta-e)/(I-ecostheta)

If (a + b) tan (theta - phi) = (a-b) tan (theta + phi) " and " a cos 2 phi + b cos 2 theta = c, "show that" a^(2) -b^(2) + c^(2) = 2a cos 2 phi

If 2 cos theta= a+(1)/(a) and 2 cos phi= b +(1)/(b) , show that 2 cos (theta- phi) =(a)/(b)+(b)/(a)

If A + B + C = pi "and" cos A = cos B cos C, "show that" tan B tanC = 2

If 2 tan theta = cot phi, "show that" cos(theta - phi) = 3 cos ( theta + phi).

If " " tan theta = 1/7 " and " tan phi = 1/3 " show that", cos 2 theta = sin 4phi

If (a+b)tan(theta-phi)=(a-b)tan(theta-phi) and acos2phi+bcos2theta=c show that a^2-b^2+c^2=2a cos2phi

If A + B + C = pi " and " cos A = cos B cos C, "show that" tan A = tan B + tan C

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. In an acute angled triangle ABC, prove that tan^(2)a+tan^(2)B+tan^(2) ...

    Text Solution

    |

  2. Given sin alpha+ cos alpha+tan alpha+ cot alpha+ sec alpha=7, find th...

    Text Solution

    |

  3. If tan theta= sqrt((a-b)/(a+b))"tan"(A)/(2) and cos varphi =(b+ a cos ...

    Text Solution

    |

  4. Solve : sqrt(tan alphax+ sin x)+ sqrt(tan x-sinx)=2 cos sqrt(tanx)

    Text Solution

    |

  5. Determine the smallest positive value of x ( in degrees for which) ...

    Text Solution

    |

  6. Find the value of "sin"(pi)/(18)"sin" (5pi)/(18)"sin"(7pi)/(18)

    Text Solution

    |

  7. If tan alpha=(x)/(y), then show that x "cosec" (alpha)/(3)- y "sec" ...

    Text Solution

    |

  8. In triangle ABC if A=60^(@), show that cos^(2)B+ cos^(2)C+ cos B cosC...

    Text Solution

    |

  9. If sin x+ sin (x+y) sin (x+y+z)=0 and cos x+ cos (x+y)+cos (x+y+x)=0. ...

    Text Solution

    |

  10. If tan^(2)z= tan (x+y) tan (x-y), show that cot^(2)y+ cot (z+x) cot (z...

    Text Solution

    |

  11. If cos alpha, sin alpha and cot alpha are in G.P. show that tan^(6)alp...

    Text Solution

    |

  12. Solve: 4[ sin^(4) theta+ sin^(4)(theta+(pi)/(4)) + sin^(4) (theta-(p...

    Text Solution

    |

  13. Solve: tan^(2) theta+ sec 2 theta=1

    Text Solution

    |

  14. Solve : e^(sin x+sqrt(3) cosx-1)=1 (-2pi lt x lt 2pi)

    Text Solution

    |

  15. Solve : 3^(sin 2x+2cos^(2)x)+3^(1- sin2x+2sin^(2)x)=28

    Text Solution

    |

  16. If x+y+z = n pi(n=0, +- 1,+-2,...)and (cos (y+z))/(cosx)+(cos(x+y))/(c...

    Text Solution

    |

  17. If (sin (theta- alpha))/(sin (theta- beta))=(x)/(y) and (cos (theta- a...

    Text Solution

    |

  18. If sin^(2) theta=(cos 2 alpha cos 2 beta)/(cos^(2)(alpha+ beta)) then...

    Text Solution

    |

  19. Find all the values of m for which the equation m sin (theta+(pi)/(4))...

    Text Solution

    |

  20. If 2n alpha= pi/2, then show that tan alpha tan 2 alpha tan 3 alpha....

    Text Solution

    |