Home
Class 12
MATHS
Show that sin ^(4). (pi)/(8)+ sin ^(4) ...

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

Text Solution

Verified by Experts

The correct Answer is:
`=2-(1)/(2)=(3)/(2)=R.H.S`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIONS, TRANSFORMATIONS

    SRISIRI PUBLICATION|Exercise LAQ|64 Videos

  • TRIGONOMETRIC RATIONS, TRANSFORMATIONS

    SRISIRI PUBLICATION|Exercise LAQ|64 Videos

  • TRIGONOMETRIC EQUATIONS

    SRISIRI PUBLICATION|Exercise SPQ|8 Videos

Similar Questions

Explore conceptually related problems

"sin"^(4)(pi)/(16) + "sin"^(4) (3pi)/(16) + "sin"^(4) (5pi)/(16) + "sin"^(4) (7pi)/(16)=

(ii) Find the value of sin^(2). (pi)/(4) + sin^(2). (3pi)/(4) + sin^(2). (5pi)/(4) + sin^(2). (7pi)/(4) .

"sin"^(2)pi/8" + sin"^(2)(3pi)/8" + sin"^(2)(5pi)/8" + sin"^(2)(7pi)/8=

sin "" (2pi)/(7) + sin "" (4pi)/(7) + sin "" (8pi)/(7) =

Show that Cos^(4)(pi/8)+Cos^(4)((3pi)/8)+Cos^(4)((5pi)/8)+Cos^(4)((7pi)/8)=3/2 (AP May-2016)

cos^(2)""(pi)/(5)+ sin^(2)""(4pi)/(5)=

Evaluate (ii) sin^(2). (2pi)/(3) + cos^(2). (5pi)/(6) - tan^(2). (3 pi)/(4)

SRISIRI PUBLICATION-TRIGONOMETRIC RATIONS, TRANSFORMATIONS-VSAQ
  1. Find the range of 13cosx+3sqrt3 sin x-4

    Text Solution

    |

  2. Find the extreme values of cos 2x+cos^2x

    Text Solution

    |

  3. Find the extreme values of 3sin^(2)x+5cos^(2)x.

    Text Solution

    |

  4. In Delta Prove that tan A+tan B+ tan C =tan A tan B tan C.

    Text Solution

    |

  5. If A+B+C= pi//2 then show that cot A + cot B+ cot C=cot A cot B cot C

    Text Solution

    |

  6. If A+B=45^(@), then prove that (i) (1+ tan A) (1+ tan B) =2 (ii) (cot...

    Text Solution

    |

  7. If A is not an integral multiple of (pi)/(2), prove that (i) tan A +...

    Text Solution

    |

  8. Prove that sin ^(2) theta + sin ^(2) (theta+(pi)/(3))+ sin ^(2) (theta...

    Text Solution

    |

  9. If tan alpha - tan beta =m and cot alpha - cot beta =n, then prove tha...

    Text Solution

    |

  10. If (sin(alpha+beta))/(sin(alpha-beta)) = (a+b)/(a-b), then prove that ...

    Text Solution

    |

  11. Prove that (1- sec 8 alpha )/(1- sec 4 alpha )=(tan 8 alpha )/( tan 2 ...

    Text Solution

    |

  12. If tan theta . =(b)/(a) then prove that acos 2 theta +b sin 2 theta =a

    Text Solution

    |

  13. Show that sin A= (sin 3A) /(1+2 cos 2A). Hence find the value of sin 1...

    Text Solution

    |

  14. Show that sin A sin ((pi)/(3)+A) sin ((pi)/(3) -A)=(1)/(4) sin 3A

    Text Solution

    |

  15. Prove that cos ^(2). (pi)/(8) + cos ^(2). (3pi)/(8)+ cos ^(2). (5 pi )...

    Text Solution

    |

  16. Show that 1/(sin10^@)-sqrt3/(cos10^@)=4

    Text Solution

    |

  17. Prove that (1)/(cos 290^(@))+(1)/(sqrt3 sin 250^(@) )=(4)/(sqrt3)

    Text Solution

    |

  18. Prove that tan 9 ^(@) - tan 27 ^(@)- cot 27 ^(@) + cot 9^(@)=4

    Text Solution

    |

  19. Show that sin ^(4). (pi)/(8)+ sin ^(4) .(3pi)/(8) sin ^(4). (5pi)/(8)...

    Text Solution

    |

  20. Show that (1+ cos. (pi)/(8))(1+cos. (3pi)/(8))(1+ cos. (5pi)/(8))(1+ c...

    Text Solution

    |