Home
Class 12
MATHS
sin ""(pi)/(4) cos ""(pi)/(12) - cos ""(...

`sin ""(pi)/(4) cos ""(pi)/(12) - cos ""(pi)/(4) sin ""(pi)/(12)` is equal to

A

`(1)/(sqrt3)`

B

`sqrt3`

C

`(sqrt3)/(2)`

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|35 Videos

  • TIME AND WORK

    ARIHANT PUBLICATION BIHAR|Exercise Exam Booster for Cracking Exam |18 Videos

  • TRIGONOMETRIC RATIOS

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|25 Videos

Similar Questions

Explore conceptually related problems

Prove that (i) "sin " (7pi)/(12) " cos " (pi)/(2) - "cos " *(7pi)/(12) " sin " (pi)/(4) = (sqrt(3))/(2) (ii) " sin " (pi)/(4) " cos " (pi)/(2) + "cos"(pi)/(4) " sin " (pi)/(12) = (sqrt(3))/(2) (iii) " cos " (2pi)/(3) " cos " (pi)/(4) - " sin " (2pi)/(3) " sin " (pi)/(4) =(-(sqrt(3) +1))/(2sqrt(2))

The value of (1)/(sqrt(2))"sin"(pi)/(6)"cos"(pi)/(4)-"cot"(pi)/(3)"sec"(pi)/(6)+(5"tan"(pi)/(4))/("12sin"(pi)/(2)) is equal to

Find the value of cos""(pi)/(12)(sin""(5pi)/(12)+cos""(pi)/(4))+sin""(pi)/(12)(cos""(5pi)/(12)-sin""(pi)/(4)) .

("cos"^(4)(pi)/(24)-"sin"^(4)(pi)/(24)) equals :

Numerical value of cos ((pi) / (12)) ((sin (5 pi)) / (12) + cos ((pi) / (4))) + sin ((pi) / (12)) (( cos (5 pi)) / (12) -sin ((pi) / (4)))

Prove that (i) cos (n + 2) x cos (n+1) x +sin (n+2) x sin (n+1) x = cos x) (ii) " cos " .((pi)/(4)-x) " cos " .((pi)/(4)-y) " - sin " ((pi)/(4)-x ) " sin " ((pi)/(4) -y) =" sin " (x+y)

(sin((5pi)/12)-cos((5pi)/12))/(cos((5pi)/12)+sin((5pi)/12))=

ARIHANT PUBLICATION BIHAR-TRIGONOMETRIC IDENTITIES-EXAM BOOSTER (FOR CRACKING EXAM)
  1. If tanA=5/6a n dtanB=1/(11),\ p rov e\ t h a t\ A+B=pi/4

    Text Solution

    |

  2. The value of (1)/(sqrt(2)) (cos A - sin A) is

    Text Solution

    |

  3. sin ""(pi)/(4) cos ""(pi)/(12) - cos ""(pi)/(4) sin ""(pi)/(12) is eq...

    Text Solution

    |

  4. Prove than tan 56^(@) =("cos " 11^(@) + "sin " 11^(@))/("cos " 11^(...

    Text Solution

    |

  5. The value of (cos 15^(@) - sin 15^(@))/(cos 15^(@) + sin 15^(@) is

    Text Solution

    |

  6. If tantheta=(xsinphi)/(1-xcosphi)&tanphi=(ysintheta)/(1-ycostheta), th...

    Text Solution

    |

  7. If sin(theta + alpha)=cos(theta + alpha) then the value of tan theta i...

    Text Solution

    |

  8. The values of cos^(2) (theta - phi)/(2) - sin^(2) (theta + phi)/(2) is

    Text Solution

    |

  9. cos^2 4 5^(@)-sin^2 1 5^(@)=

    Text Solution

    |

  10. If 0^(@)ltthetalt90^(@), then ((5costheta-4)/(3-5sintheta)-(3+5sinthet...

    Text Solution

    |

  11. The value of cos 10^(@) + cos 110^(@) + cos 130^(@) is

    Text Solution

    |

  12. The value of cos 52^(@) + cos 68^(@) + cos 172^(@) is

    Text Solution

    |

  13. The value of (sin 38^(@) - cos 68^(@))/( cos 68^(@) + sin 38^(@) is

    Text Solution

    |

  14. If cos x = k cos (x - 2y), then the value of tan (x -y).tan y is

    Text Solution

    |

  15. The value of 2 cos x - cos 3x - cos 5x is

    Text Solution

    |

  16. A horse is tied to a post by a rop. If the horse moves along a circula...

    Text Solution

    |

  17. The largest hand of a clock is 42 cm long, then the distance covered b...

    Text Solution

    |

  18. The interior angle of a convex polygon are in AP. The smallest angle i...

    Text Solution

    |

  19. The value for 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta)+1 is

    Text Solution

    |

  20. The value of 2 sec^(2) theta - sec^(4) theta - 2 cosec^(2)theta + cos...

    Text Solution

    |