Home
Class 11
MATHS
Prove that cos ^(4) (pi)/(8)+cos ^(4) (3...

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

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    V PUBLICATION|Exercise QUESTIONBANK|99 Videos

Similar Questions

Explore conceptually related problems

Prove that cos 4(x)=1-8 sin ^(2) (x) cos ^(2) (x)

Evaluate cos^2(pi/8)+cos^2((3pi)/8)+cos^2((5pi)/8)+cos^2((7pi)/8)=2

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

Prove that 2cos(pi/13)cos((9pi)/13)+cos((3pi)/13)+cos((5pi)/13)=0

Show that cos ^(2) x+cos ^(2)(x+(pi)/(3))+cos ^(2) (x-(pi)/(3))=(3)/(2)

Prove that cos((3pi)/4+x)-cos((3pi)/4-x)= -sqrt2 sinx

Prove that cos ( pi/4 +x)+cos ( pi/4 - x) = sqrt(2)cos x

The value of sin^(2)""(pi)/(8) + sin^(2)""(3pi)/(8) + sin^(2)""(5pi)/(8) + sin^(2) ""(7pi)/(8) is equal to a) (1)/(8) b) (1)/(4) c) (1)/(2) d)2

Find the value of "cos"^(2)(pi)/(16)+"cos"^(2)(3pi)/(16)+"cos"^(2)(5pi)/(16)+"cos"^(2)(7pi)/(16) .

cos^(4) ""(pi)/(12) - sin^(4)"" (pi)/(12) is equal to

V PUBLICATION-TRIGNOMETRC FUNCTIONS-QUESTION BANK
  1. If A+B=45^(circ), prove that (cot A-1)(cot B-1) = 2

    Text Solution

    |

  2. Show that (sin (180^(circ)+A) cos (90^(circ)-A) tan (270^(circ)+A))/(s...

    Text Solution

    |

  3. Prove that cos ^(4) (pi)/(8)+cos ^(4) (3 pi)/(8)+cos ^(4) (5 pi)/(8)+c...

    Text Solution

    |

  4. Prove that (sin 3 x+sin x) sin x+(cos 3 x-cos x)cosx=0

    Text Solution

    |

  5. If an arc of length l of a circle of radius r subtends an angle theta ...

    Text Solution

    |

  6. A cow is tied to a post with a rope of 20 m long .If it moves along a ...

    Text Solution

    |

  7. Three points A, B, C are marked in the stem of a coconut trees so that...

    Text Solution

    |

  8. Prove that sin ^(2) A cos ^(2) B+cos ^(2) A sin ^(2) B+cos ^(2) A cos ...

    Text Solution

    |

  9. Prove that sqrt((1+cosA)/(1-cos A))=cosecA+cot A

    Text Solution

    |

  10. Prove that 2 sec ^(2) theta-2 cosec^2theta-sec ^(4) theta+cosec^4 thet...

    Text Solution

    |

  11. Prove that (sec A-cosec A)(1+tan A+cot A)=tan A secA + cotA cosec A

    Text Solution

    |

  12. If cos theta+sin theta=sqrt(2) cos theta,then show that cos theta-sin...

    Text Solution

    |

  13. If tan ^(2) theta=1-k^(2), show that sec theta+tan ^(3) theta cosecthe...

    Text Solution

    |

  14. If a cos theta+b sin theta=c, show that asin theta-bcos theta=pm sqrt(...

    Text Solution

    |

  15. If T(n)=sin ^(n) theta+cos ^(n) theta. prove that (T(3)-T5)/(T1)=(T5-T...

    Text Solution

    |

  16. Find the quadrant in which cos theta is negative and tantheta is posi...

    Text Solution

    |

  17. Show that sec ^(2) theta+cosec^(2) theta geq 4

    Text Solution

    |

  18. Prove that cos theta+sec theta can never be equal to (3)/(2)

    Text Solution

    |

  19. If x be real, show that cos theta cannot be equal to x+(1)/(x).

    Text Solution

    |

  20. Show that (i) sin ^(2) 6 x-sin ^(2) dot(4) x=sin 2 x sin 10 x (ii) ...

    Text Solution

    |