PreCal Help Please
Solve\[4\sin^2x+4\sqrt{2} cosx-6=0\]
the question is not here ! or i do not see it
I just posted it before you wrote your comment
@amoodarya Refresh your page
Substitute in for the value of sin^2(x) You know what it is?
Substitute it where? I am still confused.
sin^2(x) can be put in terms of cos^2(x)
sin^2(x) = 1-cos^2 (x) Another really important one to remember. (I hope you're writing these important ones down, especially if you plan on going further in calculus)
then put cos x =y and you get a Quadratic in 'y', which can be solved easily.
^ this sounds better
I wasn't going to suggest that.......but it makes it a lot easier. Go that route.
Don't forget to distribute when you substitute for sin^2(x)
wait so is the new equation\[4( \frac{ 1 }{\cos^2x }) + 4 \sqrt{2}cosx-6=0\]
4(1-cos^2x).......
actually, \[\huge \color{red}{\sin^2x+\cos^2x=1 \\ \implies \sin^2x =1-\cos^2x}\]
no |dw:1358282546908:dw|
\[\huge \color{red}{\sin^2x+\cos^2x=1 \\ \implies \sin^2x =1-\cos^2x \\ \implies 4\sin^2x=4-4\cos^2x}\]
|dw:1358282634437:dw|
Join our real-time social learning platform and learn together with your friends!