Home
Class 12
MATHS
find the value of sin 27^(@)-cos27^(@)?...

find the value of `sin 27^(@)-cos27^(@)`?

A

`-(sqrt(3-sqrt(3)))/(2)`

B

`-(sqrt(5-sqrt(5)))/(2)`

C

`-(sqrt(5)-1)/(2sqrt(2))`

D

none of these.

Text Solution

Verified by Experts

The correct Answer is:
B
`sin27^(@)-sin63^(@)=-2cos45^(@)sin18^(@)`
`=-sqrt(2)((sqrt(3)-1)/(4))=-(sqrt(3)-1)/(2sqrt(2))=-(sqrt(3-sqrt(5))/(2)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Exercise (Multiple)|22 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Exercise (Comprehension)|20 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Exercise 3.10|5 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Multiple Correct Answers Type|6 Videos

Similar Questions

Explore conceptually related problems

The value of 4sin27^(@)=

Which of the following is the value of sin27^(0)-cos27^(0)?( a) -(sqrt(3-sqrt(5)))/(2) (b) (sqrt(5-sqrt(5)))/(2)(c)-(sqrt(5)-1)/(2sqrt(2)) (d) none of these

Find the value of 5(sin100^(@)cos27^(@)+sin27^(@)cos100^(@)).

Find the value of (27)^3

Find Value of sin27^(@) or cos63^(@)

Find the value of [(sin^(2)22^(@)+sin^(2)68^(@))/(cos^(2)22^(@)+cos^(2)68^(@))+sin^(2)63^(@)+cos63^(@)sin27^(@)]

Find the value of (tan 9^(@)+cot9^(@))/(tan27^(@)+cot27^(@)) .

The value of (sin25^(@)cos65^(@)+cos25^(@)sin65^(@))/(tan^(2)27^(@)-cos ec^(2)20^(@))

It is given that sin54^(@)=(sqrt(5)+1)/(4), the value of (64sin^(4)27^(@)-64sin^(2)27^(@)+6)^(2)-15(sin^(2)27^(@)+sin^(2)63^(@)) is equal to

If alpha satisfies 15 sin^(4)alpha + 10 cos^(4)alpha=6 , then find the value of 27 sin^(8)alpha + 8 cos^(8) alpha

CENGAGE-TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS-Exercise (Single)
  1. If cot^2x=cot(x-y)(x-z),t h e ncot2x is equal to (w h e r ex!=pi/4) ....

    Text Solution

    |

  2. In a A B C , if tanA:tanB :tanC=3:4:5, then the value of sinA sinB si...

    Text Solution

    |

  3. find the value of sin 27^(@)-cos27^(@)?

    Text Solution

    |

  4. If costheta1 2costheta2, then tan(theta(1-theta2))/2tan(theta1+theta2)...

    Text Solution

    |

  5. Let alpha, beta be such that it pi < alpha - beta <3 pi. if sin alph...

    Text Solution

    |

  6. If n=pi/(4alpha), then tanalpha tan 2alpha tan 3 alpha........tan(2n-1...

    Text Solution

    |

  7. (sin 3theta+sin5theta+sin7theta+sin9theta)/(cos 3theta+cos 5theta+cos ...

    Text Solution

    |

  8. If x , y , z are in A.P., then (sinx-sinz)/(cosz-cosx) is equal to tan...

    Text Solution

    |

  9. If cosx/a=cos(x+theta)/b=cos(x+2theta)/c=cos(x+3theta)/d then (a+c)/(b...

    Text Solution

    |

  10. If cos alpha+cos beta=0=sin alpha+sinbeta, then cos2alpha+cos 2beta=

    Text Solution

    |

  11. Value of (3+cot80^0cot20^0)/(cot80^0+cot20^0) is equal to

    Text Solution

    |

  12. If tanalpha is equal to the integral solution of the inequality 4x^2-1...

    Text Solution

    |

  13. Let f(n)=2cosn xAAn in N , then f(1)f(n+1)-f(n) is equal to f(n+3) (...

    Text Solution

    |

  14. If sintheta1sintheta2-costheta1costheta2+1=0, then the value of tan((t...

    Text Solution

    |

  15. (sqrt2-sinalpha-cosalpha)/(sinalpha-cosalpha) is equal to

    Text Solution

    |

  16. If x(1) and x(2) are two distind roots of the equation a cos x+b sinx=...

    Text Solution

    |

  17. If sin(y+z-x),sin(z+x-y),"sin"(x+y-z) are in A.P., then t a n x ,tany ...

    Text Solution

    |

  18. If (tan(alpha+beta+gamma))/("tan"(alpha-beta-gamma))=(tangamma)/(tanbe...

    Text Solution

    |

  19. If sintheta1sintheta2-costheta1costheta2+1=0, then the value of tan((t...

    Text Solution

    |

  20. The value of the expression (2(sin1^@+sin2^@+sin3^@+....+sin89^@))/(2(...

    Text Solution

    |