Home
Class 11
MATHS
Show that: sin^(6)theta+cos^(6)theta=1-3...

Show that: `sin^(6)theta+cos^(6)theta=1-3sin^(2)thetacos^(2)theta`

Text Solution

Verified by Experts

The correct Answer is:
`=1-3sin^(2) theta cos^(2) theta=RHS`

NA
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    SUBHASH PUBLICATION|Exercise Alternate Methods|12 Videos
  • SUPER MODEL QUESTION PAPER-3

    SUBHASH PUBLICATION|Exercise Point E|4 Videos

Similar Questions

Explore conceptually related problems

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

cos^(2)theta+sin^(2)theta is:

Prove that: (sin^(3) theta + cos^(3) theta)/(sin theta + cos theta) = 1-sin theta cos theta

Show that: (a) (1-sin^(2)theta)sec^(2)theta=1 (b) (1+tan^(2)theta)cos^(2)theta=1

If sin theta+cos theta=a then sin ^(4) theta+cos ^(4) theta=

If |(1+sin^(2)theta, cos^(2)theta, 4 sin 2 theta),(sin^(2) theta, 1+cos^(2)theta, 4sin2 theta),(sin^(2)theta, cos^(2)theta, 4 sin 2 theta-1)|=0 and 0 lt theta lt (pi)/2 then cos 4 theta=

If |{:(1+cos^(2)theta,sin^(2)theta,4cos6theta),(cos^(2)theta,1+sin^(2)theta,4cos6theta),(cos^(2)theta,sin^(2)theta,1+4cos6theta):}|=0 , and theta in (0,(pi)/(3)) , then value of theta is

The value of theta lying in (0,pi/2) and satisfying : |(1 + sin^(2)theta" "cos^(2)theta" "4sin4theta),(sin^(2)theta" "1 + cos^(2)theta" "4sin4theta),(sin^(2)theta" "cos^(2)theta" "1 + 4sin4theta)| = 0 is :

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

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