Home
Class 11
MATHS
Prove that : sin^2 frac (pi)(8)+ sin^2 f...

Prove that : `sin^2 frac (pi)(8)+ sin^2 frac (3pi)(8)+ sin^2 frac (5pi)(8)+sin^2 frac (7pi)(8)=2`.

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

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

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

Prove that sin frac (pi)(14) sin frac (3 pi)(14) sin frac (5pi)(14) sin frac (7pi)(14)=1/8 .

Prove that : sin frac (pi)(5) sin frac (2pi)(5) sin frac (3pi)(5) sin frac (4pi)(5) =5/16 .

Prove that : sin^2 frac (pi)(6)+ cos^2 frac(pi)(3)- tan^2 frac(pi)(4)=-1/2 .

Prove that : 2 sin^2 frac (3pi)(4)+ 2cos^2 frac (pi)(4) +2 cos^2 frac (pi)(3)= 5/2 .

Prove that : (1+cos frac (pi)(8)) (1+cos frac (3pi)(8)) (1+cos frac (5pi)(8)) (1+cos frac (7pi)(8))=1/8 .

Prove that sin frac (pi)(10)+ sin frac (13 pi)(10)=-1/2 .

Prove that: 2sin^2frac (pi)(6)+cosec^2frac (7pi)(6)cos^2frac (pi)(3)=3/2

Prove that: sin^2frac (pi)(6)+cos^2frac (pi)(3)-tan^2frac (pi)(4)=-1/2

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If 8 theta=pi, prove that cos theta+ cos 7 theta=0.

    Text Solution

    |

  2. If B + C = 60^@, show that : sin (120^@- B) = sin (120^@ -C) .

    Text Solution

    |

  3. Prove that : sin^2 frac (pi)(8)+ sin^2 frac (3pi)(8)+ sin^2 frac (5pi)...

    Text Solution

    |

  4. Prove that : [1+ cot alpha- sec (pi/2+alpha)] [1+ cot alpha+ sec (pi/...

    Text Solution

    |

  5. In any triangle ABC, prove that : sin (A + B) = sin C.

    Text Solution

    |

  6. In any triangle ABC, prove that : cos frac (A+B)(2)= sin frac (C)(2).

    Text Solution

    |

  7. In any triangle ABC, prove that : tan frac (B+C-A)(2)= cot A.

    Text Solution

    |

  8. If cot A= tan (n-1) A, show that one value of A is pi/(2n).

    Text Solution

    |

  9. Show that the function f(x) = cos 2x is periodic and find its period.

    Text Solution

    |

  10. Show that the function f(x) = cos (x/2+pi/4) is periodic and find its ...

    Text Solution

    |

  11. Evaluate : sin 15^@, cos 15^@, tan 15^@.

    Text Solution

    |

  12. Evaluate : sin 75^@, cos 75^@, tan 75^@.

    Text Solution

    |

  13. Prove that : sin 105^@ + cos 105^@=1/sqrt2.

    Text Solution

    |

  14. Prove that : cos 105^@ + cos 15^@= sin 75^@- sin 15^@ .

    Text Solution

    |

  15. Find tan 15^@ and hence show that tan 15^@+ cot 15^@ = 4.

    Text Solution

    |

  16. Evaluate : sin^2 (15^@ + A) - sin^2 (15^@ -A).

    Text Solution

    |

  17. Write down the values of : cos 68^@ cos 8^@ + sin 68^@ sin 8^@.

    Text Solution

    |

  18. Write down the values of : cos 70^@ cos 10^@ + sin 70^@ sin 10^@.

    Text Solution

    |

  19. Prove that : cos 130^@ cos 40^@+ sin 130^@ sin 40^@= 0.

    Text Solution

    |

  20. Prove that : sin (40^@+theta)cos (10^@+theta)-cos (40^@+theta) sin (10...

    Text Solution

    |