Home
Class 12
MATHS
If x + y + z = pi,tanx tany = 2tanx + ta...

If `x + y + z = pi`,`tanx tany = 2``tanx + tany + tanz = 6`, then`z` equals :

A

`npi + pi/4`

B

`npi + tan^(-1)2`

C

`npi + tan^(-1)3`

D

None of these.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUSTIONS FROM AIEEE/JEE EXAMINATIONS|8 Videos

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|10 Videos

  • UNIT TEST PAPER NO - 4

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|25 Videos

Similar Questions

Explore conceptually related problems

Find dy/dx if y= sinx+ tany

Find dy/dx if y= x/tanx

If x > 0, y > 0, z>0 and x + y + z = 1 then the minimum value of x/(2-x)+y/(2-y)+z/(2-z) is:

The equation of the plane containing the line: 2x - 5y + z = 3, x + y + 4z = 5 and parallel to the plane x + 3y +6z = 1, is :

If y = sqrt((secx +tanx)/(secx -tan x)) and 0 lt x lt pi/2 , then dy/dx =

If y = tan^(-1) (sec x - tanx) then dy/dx =

Prove that tan(x+y)=(tanx+tany)/(1-tanxtany)

int [1+2 tanx (tanx + sec x)]^(1/2) dx =

If y=(secx-tanx)/(secx+tanx), then (dy)/(dx) equals.

int (5tanx)/(tanx-2)dx = x+a log (sin x-2 cos x) then a =

MODERN PUBLICATION-TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS-MULTIPLE CHOICE QUESTION(LEVEL-II)
  1. If 1/6 sin theta,cos theta and tan theta are in G.P., then the general...

    Text Solution

    |

  2. The most general values of x for which sinx + cosx = underset (a in R)...

    Text Solution

    |

  3. Let [x] = the greatest integer less than or equal to x and let f(x) = ...

    Text Solution

    |

  4. The number of all possible 5-tuples alpha, alpha(2), alpha(3), alpha(4...

    Text Solution

    |

  5. The solution of |cosx| = cosx - 2sinx is :

    Text Solution

    |

  6. The equation 8cosx cos2x cos4x = (sin6x)/(sinx) has a solution given b...

    Text Solution

    |

  7. The value of theta lying in (0,pi/2) and satisfying : |(1 + sin^(2)th...

    Text Solution

    |

  8. If x + y + z = pi,tanx tany = 2tanx + tany + tanz = 6, thenz equals :

    Text Solution

    |

  9. Let f(theta) =sin theta(sin theta + sin3theta) then f(theta) :

    Text Solution

    |

  10. The number of integer values of k for which the equation 7cosx + 5sinx...

    Text Solution

    |

  11. If u = sqrt(a^(2) cos^(2)theta + b^(2) sin^(2)theta) + sqrt(a^(2) sin^...

    Text Solution

    |

  12. Let alpha, beta be such that pi lt=alpha lt=beta lt=3piif sinalpha + s...

    Text Solution

    |

  13. If 0ltxltpi and cosx + sinx = 1//2, then tanx is :

    Text Solution

    |

  14. The number of solutions of the equation cos (pisqrt(x - 4))cos[pisqrt(...

    Text Solution

    |

  15. The maximum value of : (cosalpha(1)).(cosalpha(2))....(cosalpha(n)) un...

    Text Solution

    |

  16. If 0ltthetalt2pi, then the intervals of values of theta for which 2sin...

    Text Solution

    |

  17. Let theta in (0,pi/4) and t(1) = (tan theta)^(tantheta) and t(2) = (ta...

    Text Solution

    |

  18. The number of solutions of the paires of equations : 2sin^(2)theta - c...

    Text Solution

    |

  19. Let A and B denote the statement : A : cosalpha + cosbeta + cosgamma =...

    Text Solution

    |

  20. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1)) ...

    Text Solution

    |