Home
Class 11
MATHS
If cos x= tan y , coty= tan z , cot z= ...

If ` cos x= tan y , coty= tan z , cot z= tan x` then sin x=

A

`sin 18^(@)`

B

`1/2"sin" 18^(@)`

C

`sin 36^(@)`

D

`2sin 18^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|68 Videos
  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise EXERCISE-1 |35 Videos
  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - II) (LEVEL - II) (Linked Comprehension Type Questions)|5 Videos
  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos

Similar Questions

Explore conceptually related problems

If cos x = tan y , cot y= tan z and cot z= tan x, then sin x =

If cos x= tan y, cos y= tan z' cos z= tan x then

If cos x = tan y, cot y = tan z and cot z = tan x, then sin x =

If tan(cot x) = cot (tan x) , then sin 2x =

If tan x + tan 2x+tan 3x=tan x tan 2x tan 3x then |sin 3x+cos 3x|

If Y = tan x cot 3x ,x in R , then

If sin^(2) x tan x + cos ^(2) x cot x - sin 2 x = 1 + tan x + cot x x in (0, pi) then x =

X=tan 1, Y =tan 2, Z= tan 3 then the decending order is

AAKASH SERIES-MULTIPLE & SUBMULTIPLE ANGLES-EXERCISE-II
  1. tan x+ tan(x+(pi)/(3))+ tan(x+(2pi)/(3))=3impliestan 3 x=

    Text Solution

    |

  2. If 0lttheta ltpi/2,sin2theta=cos3theta then sintheta=

    Text Solution

    |

  3. If cos x= tan y , coty= tan z , cot z= tan x then sin x=

    Text Solution

    |

  4. (cos^(3)21^(@)+cos^(3)39^(@))/(cos21^(@)+cos39^(@))=

    Text Solution

    |

  5. If cos alpha = (3)/(5) , cos beta =(5)/(13) , "then " cos^(2) ((alpha...

    Text Solution

    |

  6. If cosA+cosB+cosC=0=sinA+sinB+sinC then cos^(2)((A-B)/2)=

    Text Solution

    |

  7. If sin(pi cos theta)=cos(pi sin theta) then sin2theta=

    Text Solution

    |

  8. 2 sin^(2) beta + 4 cos( alpha+ beta) sin alpha sin beta + cos ( 2 alph...

    Text Solution

    |

  9. If A and B are acute angles satisfying 3sin^(2)A+2sin^(2)B=1 and 3 sin...

    Text Solution

    |

  10. If cos (theta - alpha) , cos theta , cos (theta + alpha ) are in H.P....

    Text Solution

    |

  11. A quadratic equation whose roots are sin^(2) 18^(@) , cos^(2) 36^(@) ...

    Text Solution

    |

  12. Prove that (1)/(cos 290^(@))+(1)/(sqrt3 sin 250^(@) )=(4)/(sqrt3)

    Text Solution

    |

  13. Prove that sqrt3 csc 20 ^(@)- sec 20^(@)=4

    Text Solution

    |

  14. sin6^(@)sin42^(@)sin66^(@)sin78^(@)=

    Text Solution

    |

  15. If A=tan6^(@) tan42^(@), B=cot66^(@) cot78^(@) then

    Text Solution

    |

  16. cos6^(@)sin24^(@)cos72^(@)=

    Text Solution

    |

  17. Prove that cos. (pi)/(11). cos . (2 pi)/(11). cos . (3 pi)/(11) cos. (...

    Text Solution

    |

  18. "Cos"(2pi)/15."Cos"(4pi)/15."Cos"(8pi)/15."Cos"(14pi)/15=

    Text Solution

    |

  19. If 630^@ lt A lt 720^(@) , |tan A|=12//5, " then " tan A//2=

    Text Solution

    |

  20. Prove that (1+cos""pi/10)(1+cos""(3pi)/10)(1+cos""(7pi)/10)(1+cos""(9p...

    Text Solution

    |