Ask your own question, for FREE!
Mathematics 17 Online
OpenStudy (anonymous):

PreCal Help Please

OpenStudy (anonymous):

Solve\[4\sin^2x+4\sqrt{2} cosx-6=0\]

OpenStudy (amoodarya):

the question is not here ! or i do not see it

OpenStudy (anonymous):

I just posted it before you wrote your comment

OpenStudy (hba):

@amoodarya Refresh your page

OpenStudy (cgreenwade2000):

Substitute in for the value of sin^2(x) You know what it is?

OpenStudy (anonymous):

Substitute it where? I am still confused.

OpenStudy (cgreenwade2000):

sin^2(x) can be put in terms of cos^2(x)

OpenStudy (cgreenwade2000):

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)

hartnn (hartnn):

then put cos x =y and you get a Quadratic in 'y', which can be solved easily.

OpenStudy (hba):

^ this sounds better

OpenStudy (cgreenwade2000):

I wasn't going to suggest that.......but it makes it a lot easier. Go that route.

OpenStudy (cgreenwade2000):

Don't forget to distribute when you substitute for sin^2(x)

OpenStudy (anonymous):

wait so is the new equation\[4( \frac{ 1 }{\cos^2x }) + 4 \sqrt{2}cosx-6=0\]

OpenStudy (cgreenwade2000):

4(1-cos^2x).......

hartnn (hartnn):

actually, \[\huge \color{red}{\sin^2x+\cos^2x=1 \\ \implies \sin^2x =1-\cos^2x}\]

OpenStudy (amoodarya):

no |dw:1358282546908:dw|

hartnn (hartnn):

\[\huge \color{red}{\sin^2x+\cos^2x=1 \\ \implies \sin^2x =1-\cos^2x \\ \implies 4\sin^2x=4-4\cos^2x}\]

OpenStudy (amoodarya):

|dw:1358282634437:dw|

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!