Home
Class 12
MATHS
Value of cos^3 (pi/8)cos^3 ((3pi)/8) + s...

Value of `cos^3 (pi/8)cos^3 ((3pi)/8) + sin^3 (pi/8)sin^3 ((3pi)/8)` is

A

`1/sqrt2`

B

`1/4`

C

`1/(2sqrt2)`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise MATH|25 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|3 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

Similar Questions

Explore conceptually related problems

The value of 2 sin (pi/8) sin((2pi)/8) sin((3pi)/8) sin ((5pi)/8) sin ((6pi)/8) sin((7pi)/8) is :

The value of sin^(4)(pi/8)+cos^(4)((3 pi)/8)+sin^(4)((5pi)/8)+cos^(4)((7pi)/8) is equal to =

The value of cos(pi)/(8)cos(3 pi)/(8)cos(5 pi)/(8)cos(7 pi)/(8) is equal to

Find the Values of sin (pi/8) ,cos (pi/ 8) ,sec (pi/8) ,cosec (pi/8) ,tan (pi/8) and Cot (pi/8)

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

" **4.Show that one value of "((1+sin(pi)/(8)+i cos(pi)/(8))/(1+sin(pi)/(8)-i cos(pi)/(8)))^((8)/(3))=-1

JEE MAINS PREVIOUS YEAR-JEE MAIN-MATHEMATICS
  1. A circle touches the y-axis at the point (0, 4) and passes through th...

    Text Solution

    |

  2. If f(x) is twice differentiable and continuous function in x in [a,b] ...

    Text Solution

    |

  3. Value of cos^3 (pi/8)cos^3 ((3pi)/8) + sin^3 (pi/8)sin^3 ((3pi)/8) is

    Text Solution

    |

  4. The negation of 'sqrt5 is an integer or 5 is an irrational number' is

    Text Solution

    |

  5. Find the integration int dx /((x - 3)^(6/7)(x + 4)^(8/7) =

    Text Solution

    |

  6. A sphere of 10cm radius has a uniform thickness of ice around it. Ice ...

    Text Solution

    |

  7. Let C be the entroid of the triangle with vertices (3, -1) and ( 2, 4...

    Text Solution

    |

  8. In a bag there are 20 cards 10 names A and another 10 names B. Cards a...

    Text Solution

    |

  9. F(x) = {( (sin(a+2)x + sin x)/x , x lt 0), (b , x = 0), (((x + 3x^2 )^...

    Text Solution

    |

  10. If A=[[1,1,2],[1,3,4],[1,-1,3]], B=adj(A) and C=3A then (|adj(B)|)/(|C...

    Text Solution

    |

  11. If number of 5 digit numbers which can be formed without repeating any...

    Text Solution

    |

  12. If plane x + 4y - 2z = 1, x + 7y – 5z = beta, x + 5y + alphaz = 5 in...

    Text Solution

    |

  13. 2^(1/4). 4^(1/16). 8^(1/48) .........oo =

    Text Solution

    |

  14. If | (z - i)/(z + 2i)| = 1, |z| = 5/2 then the value of |z + 3i|

    Text Solution

    |

  15. Let the observations x1(1 le I le 10) satisfy the equations, Sigma(i=...

    Text Solution

    |

  16. If f'(x) = tan^(-1)(Sec x + tan x), x in (-pi/2 , pi/2) and f(0) = 0 t...

    Text Solution

    |

  17. If e1 and e2 are eccentricities of x^2 /18 + y^2 /4 = 1 and x^2 /9 - ...

    Text Solution

    |

  18. Find number of real roots of equation e^(4x) + e^(3x) - 4e^(2x) + e^(x...

    Text Solution

    |

  19. The value of int(0)^(2pi) (xsin^8x)/(sin^8x+cos^8x)"dx" id eaual to :

    Text Solution

    |

  20. If f(x) = a + bx + cx^2 where a, b, c in R then into ^1 f(x)dx

    Text Solution

    |