Home
Class 12
MATHS
If P(n) = cos ^(n)theta + sin^(n)theta t...

If `P_(n) = cos ^(n)theta + sin^(n)theta` then `2. P_(6) - 3. P_(4) + 1 = `

A

2

B

3

C

0

D

1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

Similar Questions

Explore conceptually related problems

If tan theta = 3/4, cos^(2) theta - sin^(2) theta = _______

If sin theta+sin ^(2) theta+sin ^(3) theta=1 then cos ^(6) theta-4 cos ^(4) theta+8 cos ^(2) theta=

If 1-cos^(2)theta=(3)/(4) ,then sin theta is:

If I_(n) = int_0^(pi/4) tan^(n) theta d theta , then I_(8)+I_(6) equals

If x = acos^(3)theta sin^(2)theta , y = asin^(3)theta cos^(2)theta and (x^(2) + y^(2))^(p)/(xy)^(q)(p,q in N) is independent of theta , then :

cot theta=sin 2 theta,(theta ne n pi), if theta

sin ^(6) theta+cos ^(6) theta+3 sin ^(2) theta . cos ^(2) theta=

sin^(6)theta=cos^(6)theta=1-3sin^(2)thetacos^(2)theta

The general value of theta which satisfies the equation (cos theta + i sin theta) (cos 3 theta + I sin 3 theta) ….. {cos(2n - 1) theta + I sin (2n - 1) theta} = 1 is

If sin theta+sin ^(2) theta=1 then cos ^(12) theta+3 cos ^(10) theta+3 cos ^(8) theta+cos ^(6) theta=

HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
  1. If the angle A of a triangle A B C is given by equation 5 cos A+3=0, t...

    Text Solution

    |

  2. If 3 sin 2 theta=2 sin 3 theta and 0 lt theta lt pi then sin theta=

    Text Solution

    |

  3. If P(n) = cos ^(n)theta + sin^(n)theta then 2. P(6) - 3. P(4) + 1 =

    Text Solution

    |

  4. If A-B=(pi)/(4) then (1+tan A)(1-tan B)=

    Text Solution

    |

  5. cot theta=sin 2 theta(theta neq n pi, n in z), if theta=

    Text Solution

    |

  6. The least value of 3 sin x-4 cos x+7 is

    Text Solution

    |

  7. If sin A=(3)/(5), tan B=(1)/(2) and (pi)/(2) lt A lt pi and pi lt B lt...

    Text Solution

    |

  8. If sin 2 theta=cos 3 theta and theta is an acute angle then sin theta=

    Text Solution

    |

  9. The value of (sin^(2) 3 A)/(sin^(2) A) - (cos^(2) 3 A)/(cos^(2) A) is ...

    Text Solution

    |

  10. If cos 2 B=(cos (A+C))/(cos (A-C)), then tan A, tan B, tan C are in

    Text Solution

    |

  11. If cos theta=(2 cos phi-1)/(2-cos phi), then tan (theta)/(2)=

    Text Solution

    |

  12. (3 cos phi+cos 3 phi)/(3 sin phi-sin 3 phi)=

    Text Solution

    |

  13. If sin 2 x=n sin 2 y then the value of (tan (x+y))/(tan (x-y))=

    Text Solution

    |

  14. If tan x=(b)/(a) then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))=

    Text Solution

    |

  15. If tan(picos theta) = cot(pisin theta), then cos(theta - pi/4) is :

    Text Solution

    |

  16. If tan (pi cos theta)=cot (pi sin theta), 0ltthetalt(3 pi)/(4) then, s...

    Text Solution

    |

  17. If 0 lt x lt (pi)/(4) then sec 2 x-tan 2 x=

    Text Solution

    |

  18. If tan A+cot A=4 then tan ^(4) A+cot ^(4) A=

    Text Solution

    |

  19. The value of 4 sin A cos ^(3) A-4 cos A sin ^(3)A

    Text Solution

    |

  20. Maximum value of 6 sin x cos x+4 cos 2 x

    Text Solution

    |