Home
Class 12
MATHS
The product cot123^@*cot133^@*cot137^@*c...

The product `cot123^@*cot133^@*cot137^@*cot147^@,` when simplified is equal to: (a)`-1` (b) `tan37^@` (c)`cot33^@` (d) 1

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

What is cot 1^(@) cot 23^(@) cot 45^(@) cot 67^(@) cot 89^(@) equal to ?

Value of (3+cot80^(@)cot20^(@))/(cot80^(@)+cot20^(@)) is equal to (a) cot20^(@)(b)tan50^(@)(c)cot50^(@)(d)cot sqrt(20^(@))

The expression (tan 57^@ + cot37^@)/(tan 33^@ + cot 53^@) is equal to

cot B cot C+cot C cot A+cot A cot B=1

If cot A +(1)/( cot A) =2 , then cot^2 A + (1)/( cot^2 A) is equal to

a cot A+b cot B+c cot C=

If A+B=45^(@), then (cot A-1)(cot B-1) is equal to

RESONANCE DPP-JEE MAINS-All Questions
  1. Solution set of inequality ((e^x-1)(2x-3)(x^2+x+2))/((sinx-2)(x+1)^2x)...

    Text Solution

    |

  2. Let f(x)={sin(pix)/2,0lt=x<1 3-2x ,xgeq1 f(x) has local maxima...

    Text Solution

    |

  3. The product cot123^@*cot133^@*cot137^@*cot147^@, when simplified is e...

    Text Solution

    |

  4. The gradient of the common tangent to the two curves y=x^2-5x+6 and y=...

    Text Solution

    |

  5. Orthocentre of an acute triangle A B C is at the orogin and its circum...

    Text Solution

    |

  6. y=f(x) is a continuous function such that its graph passes through (a ...

    Text Solution

    |

  7. Consider the statement p ; New Delhi is a city. Which of the followin...

    Text Solution

    |

  8. If y = sin^(-1) ( x sqrt(1-x) + sqrtx sqrt( 1- x^2) ) and (dy)/(dx) =...

    Text Solution

    |

  9. The equation of the altitude of the triangle ABC whose vertices are A(...

    Text Solution

    |

  10. ("lim")(xvecpi/2)(a^(cotx)-a^(cosx))/(cotx-cosx)i se q u a lto ln a ...

    Text Solution

    |

  11. Comprehension (Q. 5 & 6) Let A B be any chord of the circle x^2+y^2-2x...

    Text Solution

    |

  12. If f(x)=2/sqrt3 tan^-1((2x+1)/sqrt3) -ln(x^2+x+1)+(k^2-5k+3)x+10 ...

    Text Solution

    |

  13. If the lines L1:2x-3y-6=0,L2: x+y-4=0 and L3: x+2 and tanA ,tanB an...

    Text Solution

    |

  14. The quadratic equation, a (x -b)(x-c) + b (x-c)(x-a) + c (x-a) (x-b)=0...

    Text Solution

    |

  15. If sintheta+sinvarphi=a and costhetavarphi+cosvarphi=b , then cos(...

    Text Solution

    |

  16. If y=x+e^x , then (d^2x)/(dy^2) is equal to

    Text Solution

    |

  17. Locus of the point of intersection of perpendicular tangents on the ...

    Text Solution

    |

  18. Range of function f(x)=a r ccot(2x-x^2), is [pi/4,(3pi)/3] (b) [0,pi/...

    Text Solution

    |

  19. A circle S of radius ' a ' is the director circle of another circle S1...

    Text Solution

    |

  20. If | vec a|=3,| vec b|=4 then a value of lambda for which vec a+lambd...

    Text Solution

    |