Home
Class 12
MATHS
The value of cosA cos2A cos2^2A......cos...

The value of `cosA cos2A cos2^2A......cos(2^(n-1)A)`, where `A in R` may be . (A) 1 (B) `-1` (C) 2 (D) `sin2^n A/(2^n sinA)`

A

1

B

2

C

`-1`

D

`(sin2^(n)A)/(2n^(n)sinA)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section D (Linked Comprehension Type Questions)|24 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section E (Assertion-Reason Types Questions)|18 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section-B (Objective Type Questions One option is correct)|131 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

cos A cos2A cos4A......cos2^(n-1)A

cos A cos 2A cos4 A…… cos2^(n-1) A equals

The value of 2sinA cos^(3)A -2sin^(3)A cosA is

cos x*cos2x*cos4x......cos(2^(n-1)x)=(sin2^(n)x)/(2^(n)sin x)AA n in N

sin (n + 1) A * sin (n + 2) A + cos (n + 1) A * cos (n + 2) A = cos A

Evaluate (sinA(1-cosA+1+cosA))/(1-cos^2A)

Prove that: cos A cos 2A cos 2^(2)A cos 2^(3)A….....cos 2^(n-1)A=("sin" 2^(n)A)/(2^(n)"sin"A) .

Solve the equation sin^(2n-1)x+2cos^(2n-1)x=2 ,where n in N .

cos (n + 1) A cos (n + 2) A + sin (n + 1) A sin (n + 2) A =

AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section-C (Objective Type Questions More than one options are correct )
  1. If sin alpha=-3/6, alpha in [0,2pi] then the possible values of cos (a...

    Text Solution

    |

  2. f(alpha.beta) = cos^2+ beta cos^2(alpha+beta)- 2 cosalpha cosbeta cos(...

    Text Solution

    |

  3. The value of cosA cos2A cos2^2A......cos(2^(n-1)A), where A in R may...

    Text Solution

    |

  4. If A+B=pi/3, and cosA+cosB=1, then

    Text Solution

    |

  5. cos^3x.sin2x=sum(m=1)^n(am)sin mx is an identity in x.

    Text Solution

    |

  6. If 0 lt alpha, beta lt pi and they satisfy cos alpha + cosbeta - cos(a...

    Text Solution

    |

  7. The angles A, B, C of a triangle ABC satisfy 4cosAcosB + sin2A + sin2B...

    Text Solution

    |

  8. Which of the following statement(s) is/are correct?

    Text Solution

    |

  9. If sintheta=K, -1<=K<=1 then number of values of theta for same value ...

    Text Solution

    |

  10. If the sides of a right angled triangle are {cos 2 alpha + cos 2 bet...

    Text Solution

    |

  11. Let a and b be real numbers such that sina + sinb =1/sqrt(2), cosa + c...

    Text Solution

    |

  12. If cosalpha + cosbeta + cosgamma =0= sinalpha + sinbeta + singamma, th...

    Text Solution

    |

  13. If 4costheta-3sectheta=2tantheta, then theta is equal to

    Text Solution

    |

  14. If alpha in [-2pi, 2pi] and cos.(alpha)/(2)+sin.(alpha)/(2)=sqrt(2)(co...

    Text Solution

    |

  15. If sintheta= a for e xactly one value of theta in [0,(7pi)/3], then ...

    Text Solution

    |

  16. If sin theta+sqrt(3)costheta=6y-y^2-11 ,theta in [0, 4pi], y in R ho...

    Text Solution

    |

  17. Solve the equation sinx + sqrt(3)cosx=sqrt(2)

    Text Solution

    |

  18. (1-tanx)/(1+tanx)=tanyandx-y=pi/6,t h e nx , y

    Text Solution

    |

  19. The possible value of theta in [-pi, pi] satisfying the equation 2(co...

    Text Solution

    |

  20. The number of all possible triplets (p, q, r) such that p + qcos2theta...

    Text Solution

    |