Home
Class 11
MATHS
If cot^(2)x=cot(x-y)*cot(x-z), then cot2...

If `cot^(2)x=cot(x-y)*cot(x-z)`, then `cot2x` is equal to `(x!= pm pi/4)`

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 cot^2x=cot(x-y)(x-z),t h e ncot2x is equal to (w h e r ex!=pi/4) . 1/2(tany+tanz) (b) 1/2(coty+cotz) 1/2(siny+sinz) (d) none of these

If 3tan^(-1)x +cot^(-1)x=pi , then x equals to

inte^(x) ( 1- cot x + cot^(2) x) dx is eqal to

If cot^(-1)x+cot^(-1)y+cot^(-1)z=(pi)/(2) , then x+y+z=

If cot^(-1)x+tan^(-1)(1/2)=pi/4 then x is

f(x)=cot^(2)x*cos^(2)x, g(x)=cot^(2)x-cos^(2)x

The value of cotx+cot(60^@+x)+cot(120^@+x) is equal to

If int_(0)^(pi//2) (cot x)/(cot x+cosecx)dx=m(pi+n) , then m*n is equal to :

lim_(x->0)(x^4(cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)) is equal to (a) 1 (b) 0 (c) 2 (d) none of these

Solve the equation tan 2x = -cot (x+pi/6) .

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Let tanx-tan^2x >0 and |2sinx|<1 . Then the intersection of which of t...

    Text Solution

    |

  2. One angle of an isosceles triangle is 120^0 and the radius of its inci...

    Text Solution

    |

  3. If cot^(2)x=cot(x-y)*cot(x-z), then cot2x is equal to (x!= pm pi/4)

    Text Solution

    |

  4. If x+y=pi/4a n dtanx+tany=1,t h e n(n in Z) (a)sinx=0a l w a y s ...

    Text Solution

    |

  5. In A B C ,(cot (A/2)+cot(B/2))(asin^2(B/2)+bsin^2(A/2))= (a) cotC (...

    Text Solution

    |

  6. If (sinx)/(siny)=1/2,(cosx)/(cosy)=3/2 , where x , y , in (0,pi/2), ...

    Text Solution

    |

  7. If 0lt=xlt=2pi, then 2^(cosec^2(x)) sqrt(1/2y^2-y+1)lt=sqrt(2) (a...

    Text Solution

    |

  8. In A B C , internal angle bisector of /A meets side B C in D . DE|A D...

    Text Solution

    |

  9. If y=(1+t a n A)(1-t a n B), where A-B=pi/4, then (y+1)^(y+1) is eq...

    Text Solution

    |

  10. If cos(x+pi/3)+cos x=a has real solutions, then (a) number of inte...

    Text Solution

    |

  11. Solve the equation sin^3x.cos3x+cos^3x.sin3x+3/8=0

    Text Solution

    |

  12. If cos28^0+sin28^0=k^3, t h e ncos17^0 is equal to (a)(k^3)/(sqrt(2)...

    Text Solution

    |

  13. Solve the following system of simultaneous equation for xa n dydot ...

    Text Solution

    |

  14. If (1+tanalpha)(1+tan4alpha)=2,alpha in (0,pi/(16)), then alpha is e...

    Text Solution

    |

  15. For the equation 1-2x-x^2=tan^2(x+y)+cot^2(x+y) (a)exactly one valu...

    Text Solution

    |

  16. If tan^2((pi-A)/4)+tan^2((pi-B)/4)+tan^2((pi-C)/4)=1 , then A B C is ...

    Text Solution

    |

  17. For the smallest positive values of x \and\ y , the equation 2(sinx+si...

    Text Solution

    |

  18. The minimum vertical distance between the graphs of y=2+sinx and y=cos...

    Text Solution

    |

  19. Find all solution of the equation. sinx+sin(π/8)sqrt((1−cosx)^2+sin^2x...

    Text Solution

    |

  20. Suppose sin^3xsin3x=sum(m=0)^n Cmcosm x is an identity in x , where ...

    Text Solution

    |