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

If `P_(n)=cos^(n)theta+sin^(n)theta` and `Q_(n)=cos^(n)theta-sin^(n)theta` then show that `p_(n-2)=-sin^(2)theta cos^(2) theta p_(n-4)` hence show that
`p_(4)=1-2 sin^(2) theta cos^(2) theta`
`Q_(4)=cos^(2) theta- sin^(2) theta`

Answer

Step by step text solution for If P_(n)=cos^(n)theta+sin^(n)theta and Q_(n)=cos^(n)theta-sin^(n)theta then show that p_(n-2)=-sin^(2)theta cos^(2) theta p_(n-4) hence show that p_(4)=1-2 sin^(2) theta cos^(2) theta Q_(4)=cos^(2) theta- sin^(2) theta by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -4(Level -I)|7 Videos
  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -4(Level -II)|9 Videos
  • TRIGNOMETRIC RATIOS & IDENTITIES

    MOTION|Exercise Exercise -2(Level -II)|12 Videos
  • THREE DIMENSIONAL GEOMETRY (3 -D)

    MOTION|Exercise SOLVED EXAMPLE|33 Videos
  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

If P_(n)=cos^(n)theta+sin^(n)theta and Q_(n)=cos^(n)theta-sin^(n)theta, then which of the following is/are true.

If quad P_(n)=cos^(n)theta+sin^(n)theta and Q_(n)=cos^(n)theta-sin^(n)theta then which of the following is/are true.

Knowledge Check

  • If T_(n)=cos^(n)theta+sin ^(n)theta, then 2T_(6)-3T_(4)+1=

    A
    2
    B
    3
    C
    0
    D
    1
  • Similar Questions

    Explore conceptually related problems

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

    If p_(n)=cos^(n)theta+sin^(n)theta then p_(n)-p_(n-2)=kp_(n-4) where k

    cos m theta=sin n theta then theta=

    If m=cos theta-sin theta and n=costheta+sin theta then show that sqrt(m/n)+sqrt(n/m)=2/sqrt(1-tan^2 theta)

    If cos theta-sin theta=m and cos theta+sin theta=n then prove that (m^2-n^2)/(m^2+n^2)=-2sin theta cos theta

    (cos theta + i sin theta) ^ (n) = cos n theta + i sin n theta

    If x=cos ec theta-sin theta;y=cos ec^(n)theta-sin^(n)theta then show that (x^(2)+4)((dy)/(dx))^(2)-n^(2)(y^(2)+4)=0