Home
Class 11
MATHS
Solve: 4sin^(4)theta+cos^(4)theta=1...

Solve: `4sin^(4)theta+cos^(4)theta=1`

Text Solution

AI Generated Solution

To solve the equation \( 4\sin^4\theta + \cos^4\theta = 1 \), we will follow these steps: ### Step 1: Rewrite the equation We start with the given equation: \[ 4\sin^4\theta + \cos^4\theta = 1 \] We can express \(\cos^4\theta\) in terms of \(\sin^2\theta\): ...
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3J|13 Videos
  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3K|18 Videos
  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise EXERCISES 3H|12 Videos
  • STRAIGHT LINES

    NAGEEN PRAKASHAN|Exercise Exercise|206 Videos

Similar Questions

Explore conceptually related problems

Prove that : sin^(4)theta + cos^(4)theta = 1 - 2 cos^(2) theta + 2 cos^(4)theta

If (sin theta + cos theta)/(sin theta - cos theta)=3 , then the value of sin^(4)theta - cos^(4)theta is:

Prove that (sin^(4)theta-cos^(4)theta)/(sin^(2)theta-cos^(2)theta)=1

If (sin theta+cos theta)/(sin theta-cos theta)=3, then find the value of sin^(4)theta-cos^(4)theta

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

Solve cos^(4)theta-sin^(4)theta=cos^2theta

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

If sin^(4) theta+cos^(4)theta=(1)/(2) , then find sin theta cos theta .

int _(0)^(pi//4) ( 4 sin 2 theta d theta )/(sin^(4) theta +cos^(4) theta )=