Home
Class 12
MATHS
If f(x)=sin^(2)x+sin^(2)(x+(2pi)/(3))+s...

If `f(x)=sin^(2)x+sin^(2)(x+(2pi)/(3))+sin^(2)(x+(4pi)/(3))` then :

A

`f((pi)/(15))=(3)/(2)`

B

`f((15)/(pi))=(2)/(3)`

C

`f((pi)/(10))=(3)/(2)`

D

`f((10)/(pi))=(2)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    VK JAISWAL|Exercise Exercise-3 : Comprehension Type Problems|12 Videos
  • COMPOUND ANGLES

    VK JAISWAL|Exercise Exercise-4 : Matching Type Problems|5 Videos
  • COMPOUND ANGLES

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|31 Videos
  • COMPLEX NUMBERS

    VK JAISWAL|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos
  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|23 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=sin^(3)x+sin^(3)(x+(2 pi)/(3))+sin^(3)(x+(4 pi)/(3)) then the primitive of f(x)w.r.t.x is

If f(x)=sin^(2)((pi)/(8)+(x)/(2))-sin^(2)((pi)/(8)-(x)/(2)) then the period of f is

If 2 sin^(2)(x-(pi)/(3))-5sin(x-(pi)/(3))+2lt0 , then belongs tp

If f(x)=sin^(2)x+sin^(2)(x+(pi)/(3))+cos x cos(x+(pi)/(3))andg((5)/(4))=1 then (gof)(x) is

If f(x)=sin^(2)((pi)/(8)+(x)/(2))-sin^(2)((pi)/(8)-(x)/(2)) then period of f(x) is

35 .Value of sin^(2)x+sin^(2)(x+pi/3)+sin^(2)(x-pi/3) is equal to

f(x)+sin xf(x+pi)=sin^(2)x

Prove that the value of each the following determinants is zero: sin^(2)(x+(3 pi)/(2))quad sin^(2)(x+(5 pi)/(2))quad sin^(2)(x+(7 pi)/(2))sin(x+(3 pi)/(2))quad sin(x+(5 pi)/(2))quad sin(x+(7 pi)/(2))sin(x-(3 pi)/(2))quad sin(x-(5 pi)/(2))quad sin(x-(7 pi)/(2))

VK JAISWAL-COMPOUND ANGLES-Exercise-2 : One or More than One Answer is/are Correct
  1. If sin(x+20^0)=2sinxcos40^0,w h r ex in (0,pi/2), then which of the fo...

    Text Solution

    |

  2. If cosx + cosy + cosz = 0 "and" sinx + siny + sinz =0, "then show that...

    Text Solution

    |

  3. If 0 lt x lt (pi)/(2) and sin^(n)x+cos^(n)x ge 1, then 'n' may belong ...

    Text Solution

    |

  4. If x=sin(alpha-beta)*sin(gamma-delta), y=sin(beta-gamma)*sin(alpha-de...

    Text Solution

    |

  5. If x = X cos theta- Y sin theta, y = X sin theta + Y cos theta and x^2...

    Text Solution

    |

  6. If 2a=2tan10^(@)+tan50^(@), 2b=tan20^(@)+tan50^(@) 2c=2tan10^(@)+tan...

    Text Solution

    |

  7. Which of the following real numbers when simplified are neither termi...

    Text Solution

    |

  8. If alpha=sin x cos^(3) x and beta=cos x sin^(3) x, then :

    Text Solution

    |

  9. If (pi)/(2) lt theta lt pi, then possible answers of sqrt(2+sqrt(2+2c...

    Text Solution

    |

  10. If cot^(3)alpha+cot^(2)alpha+cot alpha=1 then which of the following i...

    Text Solution

    |

  11. The value of x in (0,pi/2) satisfying (sqrt(3)-1)/(sinx)+(sqrt(3)+1)/(...

    Text Solution

    |

  12. If alpha gt (1)/(sin^(6)x+cos^(6)x) AA x in R, then alpha can be

    Text Solution

    |

  13. If x in (0, (pi)/(2)) and sinx=(3)/(sqrt(10)), Let k=log(10)sinx+log...

    Text Solution

    |

  14. If A, B, C are angles of Delta ABC and tan A tan C = 3, tan B tan C =...

    Text Solution

    |

  15. The value of (sin x-cos x)/(sin^(3)x) is equal to :

    Text Solution

    |

  16. If f(x)=sin^(2)x+sin^(2)(x+(2pi)/(3))+sin^(2)(x+(4pi)/(3)) then :

    Text Solution

    |

  17. The range of y=(sin4x-sin2x)/(sin4x+sin2x) satisfies

    Text Solution

    |

  18. If sqrt(2) cos A=cosB+cos^(3)B, and sqrt(2)sinA=sinB-sin^(3)B then si...

    Text Solution

    |

  19. If alpha gt (1)/(sin^(6)x+cos^(6)x) AA x in R, then alpha can be

    Text Solution

    |

  20. If cot^(3)alpha+cot^(2)alpha+cot alpha=1 then which of the following i...

    Text Solution

    |