Home
Class 11
MATHS
If sin(x-30^(@))=2.cos(x-60^(@)), show t...

If `sin(x-30^(@))=2.cos(x-60^(@)),` show that , `tanx=-sqrt3.`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE

    MARVEL PUBLICATION|Exercise MCQs|101 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|175 Videos

Similar Questions

Explore conceptually related problems

If sin(x-60^@)=2.cos(x-30^@), then : tanx=.....

If 2sin(x+60^@)=cos(x-30^@), then : tan=…..

sin60^(@).cos30^(@)+cos30^(@)*sin60^(@)

If cos x+sin x=sqrt(2)cos x, prove that that cos x-sin x=sqrt(2)sin x

Show that : (1-sin60^(@))/(cos60^(@))=2-sqrt3 .

"(1) "sin60^(@)cos30^(@)+sin30^(@)cos60^(@)

frac(cos60^@ + sin 60^@)(cos60^@- sin 60^@) is equal to (A) -(sqrt3 +2) (B) -1 (C ) (sqrt3 -2) (D) (sqrt3 + 2)

Show that (i) cos60^(@)*cos30^(@)-sin60^(@)*sin30^(@)=cos90^(@) (ii) cos60^(@)=1-2sin^(2)30^(@)=2cos^(2)30^(@)-1 (iii) (tan60^(@)-tan30^(@))/(1+tan60^(@)*tan30^(@))=tan30^(@)

Show that : sin 30^(@)=sqrt((1-cos60^(@))/(2))

If x tan 30^(@) = (sin 30^(@) + cos 60^(@))/( tan 60^(@) + sin 60^(@)) , then the value of x is :

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE-MCQs
  1. If sin(x-30^(@))=2.cos(x-60^(@)), show that , tanx=-sqrt3.

    Text Solution

    |

  2. sin10 5^(@)+cos10 5^(@)=

    Text Solution

    |

  3. sin((pi)/(3)+A).cos((pi)/(3)+B)-cos((pi)/(3)+A).sin((pi)/(3)+B)=...

    Text Solution

    |

  4. If 0 ltA lt(pi//2)and0 ltB lt(pi//2), then angle (A-B) lies in…….. Qua...

    Text Solution

    |

  5. If 0 ltA lt(pi//2)and0 ltB lt(pi//2), then angle (A-B) lies in…….. Qua...

    Text Solution

    |

  6. If sinA=3//5 andcosB=9//41, where A,B are both in the first quadrant, ...

    Text Solution

    |

  7. If sinalpha=15//17, (pi//2) ltalpha ltpi and secbeta=13//12, (3pi//2)...

    Text Solution

    |

  8. If tanalpha=3//4 ,alpha in third quadrant, and cosbeta=9//41,beta, in ...

    Text Solution

    |

  9. If sintheta=1//2,cosphi=12//13, where theta lies in the second quadran...

    Text Solution

    |

  10. For any angles A and B, sin(A+B). sin(A-B)=......

    Text Solution

    |

  11. For any angles A and B, cos(A+B).cos(A-B)=…..

    Text Solution

    |

  12. 1+tanA.tan(A//2)=…..

    Text Solution

    |

  13. ( tan3A + tanA)/(tan3A -tan A)=..

    Text Solution

    |

  14. For any angles A,B,C. (sin(A-B))/(cosA.cosB)+(sin(B-C))/(cosB.cosC)+(s...

    Text Solution

    |

  15. sinx+cosx=sqrt2.sin(....)

    Text Solution

    |

  16. cosx-sinx=sqrt2.cos(....)

    Text Solution

    |

  17. tan20^@+tan25^@+tan20^@.tan25^@=....

    Text Solution

    |

  18. tan4 0^@+2tan1 0^@ is equal to

    Text Solution

    |

  19. If A+B=45^@ then (1+tanA)(1+tanB)=

    Text Solution

    |

  20. If 2sin(x+60^@)=cos(x-30^@), then : tan=…..

    Text Solution

    |

  21. tan(45^(@)+A)tan(45^(@)-A)=

    Text Solution

    |