Ask your own question, for FREE!
Mathematics 21 Online
OpenStudy (anonymous):

sin2x=cosx

OpenStudy (anonymous):

What are you trying to say/ask?

OpenStudy (anonymous):

oops sorry sin2x=cosx solve for x with 0 to 2pi restriction

OpenStudy (anonymous):

Oh, sorry. I haven't yet learned that stuff.

OpenStudy (anonymous):

is it \[\sin(2x)=\cos(x)\]?

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

use the "double angle" formula on the left first

OpenStudy (anonymous):

solve \[2\sin(x)\cos(x)=\cos(x)\] subtract cosine, factor etc

OpenStudy (anonymous):

wait oops im sorry its sin(3x) = cos(3x) my badd

OpenStudy (anonymous):

sine and cosine are equal at \(\frac{\pi}{4}\) where they are both \(\frac{\sqrt2}{2}\) and also at \(\frac{5\pi}{4}\) where they are both \(-\frac{\sqrt2}{2}\)

OpenStudy (anonymous):

hehehehehe get rekt satellite

OpenStudy (anonymous):

aren't there more answers though

OpenStudy (anonymous):

since its from 0 to 2pi

OpenStudy (anonymous):

could be

OpenStudy (anonymous):

keep going around the circle

OpenStudy (anonymous):

wait would this be correct divide cos3x to get sin3x/cos3x = 1

OpenStudy (anonymous):

so it would be tan3x = 1

OpenStudy (anonymous):

then inverse tan to get 3x = tan -1(1)

OpenStudy (anonymous):

so 3x = pi/4 and 5pi/4

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!