Home
Class 12
MATHS
If f( theta ) = sin ^(3)theta + sin ^(3)...

If `f( theta ) = sin ^(3)theta + sin ^(3)( theta + (2pi)/(3)) + sin ^(3)( theta + (4pi)/(3))` then the value of `f((pi)/(18)) + f((7pi)/(18)) ` is ___________.

A

`21/22`

B

`15/16`

C

`44/117`

D

`117/43`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -2(Level -II)|12 Videos

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -3|39 Videos

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise 1|47 Videos

  • THREE DIMENSIONAL GEOMETRY (3 -D)

    MOTION|Exercise SOLVED EXAMPLE|33 Videos

  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

If sin^(3)theta+sin^(3)(theta+(2pi)/(3))+sin^(3)(theta+(4pi)/(3))=a sinb theta . Find the value of |(b)/(a)| .

If x sintheta=ysin(theta+(2pi)/(3))=z sin(theta+(4pi)/(3)), then

If sin theta = - (12)/(13) and pi lt theta lt (3pi)/(2), then the value of sec theta is

If 2 sin(theta+(pi)/(3))=cos(theta-(pi)/(6)) , then tantheta =

4 sin ((pi)/(3) + theta)sin ((pi)/(3)- theta)=

The function f(theta) = cos (pi sin^(3) theta) , is

Prove that 4sin theta sin((pi)/(3)+theta)sin((2 pi)/(3)+theta)=sin3 theta

Prove that: 4sin theta sin(theta+(pi)/(3))sin(theta+(2 pi)/(3))=sin3 theta

MOTION-TRIGNOMETRIC RATIOS & IDENTITIES -Exercise 2(Level -I)
  1. If A+B+C=pi & cos A = cos B . Cos C then tan B . Tan C has the value e...

    Text Solution

    |

  2. If 3 sin alpha=5 sin beta, then (tan((alpha+beta)/(2)))/(tan ((alpha-b...

    Text Solution

    |

  3. If f( theta ) = sin ^(3)theta + sin ^(3)( theta + (2pi)/(3)) + sin ^(3...

    Text Solution

    |

  4. If cosec A + cot A =11/2 , then tan A equal to

    Text Solution

    |

  5. Prove that : (tan^(2)theta)/(1+tan^(2)theta)+(cot^(2)theta)/(1+cot^...

    Text Solution

    |

  6. If cos alpha+ cos beta =a sin alpha + sin beta =b alpha - beta = 2 the...

    Text Solution

    |

  7. The value of (1-tan^2 1 5^(@))/(1+tan^2 1 5^(@)) is

    Text Solution

    |

  8. IF tan^2 theta=2 tan^2 phi +1 then find the value of cos 2 theta+sin^2...

    Text Solution

    |

  9. If alpha in [(pi)/(2),pi] then the value of sqrt(1+ sin alpha)-sqrt(...

    Text Solution

    |

  10. sqrt(2+sqrt(2+2cos 4 theta)), forall 0 lt theta lt pi//4 is

    Text Solution

    |

  11. The value of tan (pi/16)+2tan(pi/8)+4 is equal to

    Text Solution

    |

  12. If A=tan6^(@) tan 42^(@) and B= cot 66^(@)cot 78^(@) then-

    Text Solution

    |

  13. The value of 64sqrt(3)sin(pi/48)cos(pi/48)cos(pi/24)cos(pi/12)cos(pi/6...

    Text Solution

    |

  14. Let a and b be positive number not equal to 1 and (3pi)/(2) lt theta ...

    Text Solution

    |

  15. f(theta)=sin^4theta+cos^2theta then range of f(theta)

    Text Solution

    |

  16. The value of cos(pi/19)+cos((3pi)/19)+cos((5pi)/19)+......+cos((17pi)/...

    Text Solution

    |

  17. Value of cos(pi/(2n+1))+cos((3pi)/(2n+1))+cos((5pi)/(2n+1))+... upto ...

    Text Solution

    |

  18. A regular hexagon & a regular dodecagon are inscribed in the same circ...

    Text Solution

    |

  19. in any triangle ABC, which is not right angled Sigma cosA.cosecB.cosec...

    Text Solution

    |

  20. If 3 cos x + 2 cos 3x = cos y, 3 sin x + 2 sin 3x = sin y, then the va...

    Text Solution

    |