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)
the value of `6P_10-15P_8+10P_6+7` is

A

8

B

6

C

4

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
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 2P_6-3P_4+10 is

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

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

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

If sin theta, tan theta, cos theta are in G.P. then 4 sin^(2)theta-3 sin^(4)theta+sin^(6)theta=

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

If u_n=cos^ntheta+sin^ntheta then 2u_6-ku_4+1=0 then the numerical quantity k must be equal to

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

The number of P-P bond in P_4O_10 is

If T_n=sin^ntheta+cos^ntheta Prove that (T_3-T_5)/(T_1)=(T_5-T_7)/(T_3)

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. If Pn=sin^ntheta+cos^ntheta where n in W (whole number)and theta in R ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Match List - I with List-II

    Text Solution

    |

  10. Match List - I with List-II

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. In a Delta ABC

    Text Solution

    |

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

    Text Solution

    |

  19. For all theta in [0,pi/2] show that cos(sintheta)gtsin(costheta)

    Text Solution

    |

  20. Show that the value of the function (sinxcos3x)/(cosxsin3x), where eve...

    Text Solution

    |