Home
Class 11
MATHS
4sin^(4)theta+cos^(4)theta=1.Then find i...

`4sin^(4)theta+cos^(4)theta=1`.Then find its general solution

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 ENGLISH|Exercise EXERCISES 3J|13 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3K|18 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISES 3H|18 Videos

  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos

Similar Questions

Explore conceptually related problems

sintheta+sin7theta=sin4theta . Then find its general solution

costheta-cos2theta=sin3theta .Then find its general solution

The equation "sin"^(4) theta + "cos"^(4) theta = a has a real solution if

Solve sin ^(2) theta - 2 cos theta + (1)/(4) = 0 for the general solution.

cos^(4)theta-sin^(4)theta is equal to

If 3 sin theta + 4 cos theta=5 , then find the value of 4 sin theta-3 cos theta .

The value of 3(cos theta-sin theta)^(4)+6(sin theta+cos theta)^(2)+4 sin^(6) theta is where theta in ((pi)/(4),(pi)/(2)) (a) 13-4cos^(4) theta (b) 13-4cos^(6) theta (c) 13-4cos^(6) theta+ 2 sin^(4) theta cos^(2) theta (d) 13-4cos^(4) theta+ 2 sin^(4) theta cos^(2) theta

If 1/6 sin theta, cos theta and tan theta are in G.P. then the general solution for theta is

The number of solutions of the equation "cos"^(7) theta + "sin"^(4) theta = 1 in the interval (-pi, pi) , is

4(sin^(6)theta+cos^(6)theta)-6(sin^(4)theta+cos^(4)theta) is equal to