Home
Class 11
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

  • TRIGONOMETRIC EQUATION

    ALLEN|Exercise All Questions|86 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

ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. find the value of the expression 3[sin^4(3pi/2-alpha)+sin^4(3pi+alph...

    Text Solution

    |

  2. If costheta=1/2(a+1/a)\ t h e n\ cos 3theta in term of ' a^(prime)= a...

    Text Solution

    |

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

    Text Solution

    |

  4. If A+B+C=pi\ &sin(A+C/2)=ksinC/2, t h e ntanA/2tanB/2= a.(k-1)/(k+1) ...

    Text Solution

    |

  5. The value of the expression (1-4sin 10^0\ sin 70^0)/(2sin 10^0\ ) is-...

    Text Solution

    |

  6. Which of the following number (s) is/are rational ? a.sin 15^0 b....

    Text Solution

    |

  7. If alpha+beta+gamma=2pi,\ then- a.tanalpha/2+(tan\ beta)/2+tangamma...

    Text Solution

    |

  8. If A and C are two angles such that A+C=(3pi)/4 then (1+cotA)(1+cotC)=

    Text Solution

    |

  9. (log)(t1)(4sin9^0cos9^0)w h e r e\ t1=4sin 63^0cos 63^0\ e q u a l s ...

    Text Solution

    |

  10. l=((cot^2x.cos^2x)/(cot^2x-cos^2x))^2 and m=a^(log(sqrt(a))[2cos(y/2)]...

    Text Solution

    |

  11. If (a+b)tan(theta-varphi)=(a-b)tan(theta+varphi),\ t h e n(sin(2theta)...

    Text Solution

    |

  12. If theta is the internal angle of n sided regular polygon, then sinthe...

    Text Solution

    |

  13. Let m=t a n3\ a n d\ n=s e c6,\ then which of the following statement...

    Text Solution

    |

  14. "I f"pi<2theta<(3pi)/2,"t h e n"sqrt(2+sqrt(2+2cos4theta))

    Text Solution

    |

  15. (sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2th...

    Text Solution

    |

  16. If sce A=17/8 and cosec B=5/4, then sec(A+B) can have the value equal ...

    Text Solution

    |

  17. Which os the following when simplified reduces to unity ? (1-2sin^2alp...

    Text Solution

    |

  18. It is known that sinbeta=4/5 and 0 < beta < pi then the value of (sqrt...

    Text Solution

    |

  19. In a triangle ABC, angle A is greater than angle B. If the measures of...

    Text Solution

    |

  20. If (sin3theta)/(sintheta)=(11)/(25)\ t h e ntan(theta/2) can have the...

    Text Solution

    |