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Mathematics 6 Online
OpenStudy (zab505):

Need Help!

OpenStudy (zab505):

jimthompson5910 (jim_thompson5910):

hint: check out http://www.purplemath.com/modules/idents.htm

OpenStudy (zab505):

@zzr0ck3r

OpenStudy (zzr0ck3r):

I agree with @jim_thompson5910

OpenStudy (zab505):

I did

jimthompson5910 (jim_thompson5910):

do you see the identity where it lists tan(x/2) ?

OpenStudy (zab505):

I belief so

jimthompson5910 (jim_thompson5910):

if sin(x) = -3/5 and we're in Q3, what is cos(x) ?

OpenStudy (zab505):

not sure

jimthompson5910 (jim_thompson5910):

use the idea that sin^2 + cos^2 = 1

OpenStudy (zab505):

Sorry I'm so lost

jimthompson5910 (jim_thompson5910):

sin^2 + cos^2 = 1 (-3/5)^2 + z^2 = 1 solve for z

OpenStudy (zab505):

+,-4/5

jimthompson5910 (jim_thompson5910):

we're in Q3, so is cosine positive or negative?

OpenStudy (zab505):

Negative

jimthompson5910 (jim_thompson5910):

that means sin(x) = -3/5 cos(x) = -4/5

jimthompson5910 (jim_thompson5910):

plug those into the tan(x/2) formula and simplify

OpenStudy (zab505):

How?

jimthompson5910 (jim_thompson5910):

\[\Large \tan \left(\frac{x}{2}\right) = \frac{1-\cos(x)}{\sin(x)}\] \[\Large \tan \left(\frac{x}{2}\right) = \frac{1-\left(-\frac{4}{5}\right)}{-\frac{3}{5}}\] \[\Large \tan \left(\frac{x}{2}\right) = ???\]

OpenStudy (zab505):

x=-2.49 and -4.39

jimthompson5910 (jim_thompson5910):

idk how you're getting that

jimthompson5910 (jim_thompson5910):

and you're supposed to get one answer only

OpenStudy (zab505):

tan(1/2x)

jimthompson5910 (jim_thompson5910):

All you're doing at this point is simplifying \[\Large \frac{1-\left(-\frac{4}{5}\right)}{-\frac{3}{5}}\]

OpenStudy (zab505):

Just forget it

jimthompson5910 (jim_thompson5910):

\[\Large \frac{1-\left(-\frac{4}{5}\right)}{-\frac{3}{5}}\] \[\Large \frac{\frac{5}{5}+\frac{4}{5}}{-\frac{3}{5}}\] \[\Large \frac{\frac{5+4}{5}}{-\frac{3}{5}}\] \[\Large \frac{\frac{9}{5}}{-\frac{3}{5}}\] what's next?

OpenStudy (zab505):

-3! I'm so sorry for everything.

jimthompson5910 (jim_thompson5910):

that's ok

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