Home
Class 11
MATHS
If Pn=sin^ntheta+cos^ntheta where n in W...

If `P_n=sin^ntheta+cos^ntheta` where `n in W` (whole number)and `theta in R (real number)`
if `P_1=m` then the value of `4(1-P_6)` is

A

`3(m-1)^2`

B

`3(m^2-1)^2`

C

`3(m+1)^2`

D

`3(m^2+1)^2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

If P_n=sin^ntheta+cos^ntheta where n in W (whole number)and theta in R (real number) the value of 6P_10-15P_8+10P_6+7 is

If P_n=sin^ntheta+cos^ntheta where n in W (whole number)and theta in R (real number) the value of 2P_6-3P_4+10 is

If a_n=sin^n theta+cosec^ntheta and a_1=2 prove that, a_n=2 .

If T_n=sin^ntheta+ cos^ntheta , then (T_6-T_4)/T_6=m holds for value of m satisfying

If sin^3theta+sinthetacos^2theta=1,t h e ntheta is equal to (n in Z)

If the numbers n – 2, 4n – 1 and 5n + 2 are in A.P., find the value of n.

If p,q,r are any real number, then

If u_n=sin^("n")theta+cos^ntheta, then prove that (u_4-u_6)/(u_2-u_4)=1/2 .

If (cos theta + i sin theta)(cos 2 theta +i sin 2 theta ) …(cos n theta + i sin n theta)=1 then the value of theta is (m are integers)-

If p_n =cos^n theta+sin ^ntheta then the value of 2P_6-3P_4+1 will be

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. The value of cos((2pi)/7)cos((4pi)/7)cos((6pi)/7) is

    Text Solution

    |

  2. The value of sin (pi/14)sin(3pi/14)sin(5pi/14)sin(7pi/14)sin(9pi/14)si...

    Text Solution

    |

  3. If Pn=sin^ntheta+cos^ntheta where n in W (whole number)and theta in R ...

    Text Solution

    |

  4. If Pn=sin^ntheta+cos^ntheta where n in W (whole number)and theta in R ...

    Text Solution

    |

  5. If Pn=sin^ntheta+cos^ntheta where n in W (whole number)and theta in R ...

    Text Solution

    |

  6. if f(theta)=acostheta+bsintheta then -sqrt(a^2+b^2)lef(theta)lesqrt(a^...

    Text Solution

    |

  7. if f(theta)=acostheta+bsintheta then -sqrt(a^2+b^2)lef(theta)lesqrt(a^...

    Text Solution

    |

  8. if f(theta)=acostheta+bsintheta then -sqrt(a^2+b^2)lef(theta)lesqrt(a^...

    Text Solution

    |

  9. Find the range of A/2 if it satisfies 2 cos( A/2)=sqrt(1+sin A)-sqrt(1...

    Text Solution

    |

  10. If for two sets A and B,A-B=A then which of the following is true?

    Text Solution

    |

  11. Match List - I with List-II

    Text Solution

    |

  12. Match List - I with List-II

    Text Solution

    |

  13. Five cards are drawn successively with replacement from a well-shuffle...

    Text Solution

    |

  14. If sin 47^@+sin61^@-sin11^@-sin25^@ equals cosk^@,then k=?

    Text Solution

    |

  15. The value of e^(log10tan1^@+log10tan2^@+log10tan3^@+...+log10tan89^@ i...

    Text Solution

    |

  16. cos((2pi)/7)+cos((4pi)/7)+cos((6pi)/7)

    Text Solution

    |

  17. The values of a for which the equation sqrtasinx-2cosx=sqrt2+sqrt(2-a...

    Text Solution

    |

  18. If un=cos^ntheta+sin^ntheta then 2u6-ku4+1=0 then the numerical quanti...

    Text Solution

    |

  19. In a Delta ABC

    Text Solution

    |

  20. If the circumcentre of DeltaABC lies on incircle then cosA+cosB+cosC=s...

    Text Solution

    |