Find all the values of theta in the interval 0 degrees less than or equal to theta less than or equal to 360 degrees that satisfy the given equation. 4sin^2(theta) + 4cos(theta) = 5

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Solve `4sin^2theta+4costheta=5` on `0 <= theta <= 360`

Use the pythagorean identity:






On `0<theta<360` `costheta=1/2 => theta=60"or"300`


Thus the solutions are `theta=60` degrees or `theta=300` degrees.



Approved by eNotes Editorial Team