Home
Class 11
MATHS
Statement I : sin^2pi/8+sin^2(3pi)/8+sin...

Statement I : `sin^2pi/8+sin^2(3pi)/8+sin^2(5pi)/8+sin^2(7pi)/8=2` Statement II `cos^2pi/8+cos^2(3pi)/8+cos^2(5pi)/8+cos^2(7pi/8)=2` Statement III: `sin^2pi/8+sin^(3pi)/8+sin^2(5pi)/8sin^2(7pi)/8=3/2`

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|175 Videos
  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQS|160 Videos
  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE

    MARVEL PUBLICATION|Exercise MCQs|101 Videos

Similar Questions

Explore conceptually related problems

Prove that: sin^(2)pi/8+sin^(2)(3pi)/(8)+sin^(2)(5pi)/8+sin^(2)(7pi)/8=2

Prove that: cos^(2)pi/8 + cos^(2)(3pi)/(8) + cos^(2)(5pi)/(8)+ cos^(2)(7pi)/(8)=2

Prove that cos^(4)pi/8+cos^(4)(3pi)/(8)+cos^(4)(5pi)/8+cos^(4)(7pi)/8=3/2

Prove that sin^(4) pi/8+ sin^(4) 3pi/8 + sin^(4) 5pi/8 + sin^(4) 7pi/8 = 3/2 .

Prove that: sinpi/7+sin(2pi)/(7) + sin(8pi)/7 + sin(9pi)/7=0

2sin((pi)/8)sin((2pi)/8)sin((3pi)/8)sin((5pi)/8)sin((6pi)/8)sin((7pi)/8) = ?

Evaluate: (1+cos(pi/8))(1+cos(3pi/8))(1+cos(5pi/8))(1+cos (7pi/8))

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MCQs
  1. cot(pi/12) + cot((3pi)/12) + cos ((9pi)/12)+ cos ((11pi)/12)

    Text Solution

    |

  2. cot,(pi)/(20).cot.(3pi)/(12)+cot.(7pi)/(20)cot.(9pi)/(20)=....

    Text Solution

    |

  3. Statement I : sin^2pi/8+sin^2(3pi)/8+sin^2(5pi)/8+sin^2(7pi)/8=2 State...

    Text Solution

    |

  4. If H is the orthocentre of fDelta ABC, then : sin(angle BHC)=

    Text Solution

    |

  5. If H is the orthocentre of Delta ABC, then : cos(angle AHB)=

    Text Solution

    |

  6. tan theta * (1+cos 2 theta)= A)2 sin thetaB)sin 2 thetaC)2 cos thetaD)...

    Text Solution

    |

  7. (1+sec 2 theta)*sqrt(sec^(2) theta-1)= A)2 sec thetaB)sec 2 thetaC)2 t...

    Text Solution

    |

  8. csc theta - 2 cos theta * cot 2 theta = A)2 sin thetaB)sin 2 thetaC)2 ...

    Text Solution

    |

  9. If : (1+sin theta +cos theta)/(1+sin theta - cos theta)=f((theta)/(2))...

    Text Solution

    |

  10. (1-tan^(2)(45^(@)-A))/(1+tan^(2)(45^(@)-A)) is equal to

    Text Solution

    |

  11. (sin 3 theta)/(sin theta)-(cos 3 theta)/(cos theta)= A) sin 2 thetaB) ...

    Text Solution

    |

  12. (sin 2 theta)/(sin theta)-(cos 2 theta)/(cos theta)= A)sec theta B)ta...

    Text Solution

    |

  13. sin 2 theta * (tan theta + cot theta)= A)sec thetaB)csc thetaC)1D)2

    Text Solution

    |

  14. If sqrt((1-sinx)/(1+sinx))= f(pi/4-x/2) then f=

    Text Solution

    |

  15. cot ((A)/(2))-tan((A)/(2))= A)2 sin AB)2 cos AC)2 tan AD)2 cot A

    Text Solution

    |

  16. 8 sin theta * cos theta * cos 2 theta * cos 4 theta = A)sin 4 thetaB)...

    Text Solution

    |

  17. 4 sin theta * cos^(3) theta-4 cos theta * sin ^(3)theta= A)4 cos theta...

    Text Solution

    |

  18. 1-8 cos ^(2) theta + 8 cos ^(4) theta=

    Text Solution

    |

  19. If cos 3 A + cos 5 A + cos 7 A + cos 15 A = 4 cos mA * cos n A * cos ...

    Text Solution

    |

  20. If : sin 40^(@)-cos 70^(@)= k * cos 80^(@), "then" : k = A)sqrt1B)sqr...

    Text Solution

    |