SOLUTION: Solve the equation 4sin^2 &#952; - 2 = 0 on the interval 0<&#952;<2pi.

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the equation 4sin^2 &#952; - 2 = 0 on the interval 0<&#952;<2pi.      Log On


   



Question 457590: Solve the equation 4sin^2 θ - 2 = 0 on the interval 0<θ<2pi.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation 4sin^2 x - 2 = 0 on the interval 0< x <2pi.
--------------
4sin^2(x) - 2 = 0
sin^2(x) = 1/2
sin(x) = +/-sqrt(2)/2
------
In the interval 0 < x < 2pi, x = pi/4 or x = (3/4)pi
or x = (5/4)pi or (7/4)pi
=========================
Cheers,
Stan H.
===========