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Mathematics 14 Online
OpenStudy (anonymous):

Trig: Can someone answer these questions real quick then explain them? I have to have them turned in in 20 mins! http://prntscr.com/433gw2

OpenStudy (anonymous):

also: http://prntscr.com/433ixs

OpenStudy (dumbcow):

for question 3 \[\sin(a-b) = \sin a \cos b - \sin b \cos a\] question 4: \[\tan \frac{x}{2} = \frac{1-\cos x}{\sin x}\]

OpenStudy (dumbcow):

for general reference: http://en.wikipedia.org/wiki/Trig_Identity

OpenStudy (anonymous):

Can you please answer them? I got #3 but #4 is confusing me with the into you supplied

OpenStudy (anonymous):

I will be happy to fan, medal and everything else if you just answer them real quick

OpenStudy (dumbcow):

question 1: \[\cos \frac{19\pi}{12} = \cos (\pi + \frac{7\pi}{12}) = -\cos \frac{7\pi}{12}\] then use half angle formula for cos

OpenStudy (dumbcow):

ok for #4 x/2 = 15 so x =30 what is cos30? sin30? plug them into identity

OpenStudy (anonymous):

Don't understand #1, #2, or #5

OpenStudy (dumbcow):

question 2: \[\cos(165) = \cos(120+45)\] \[= \cos 120 \cos 45 - \sin 120 \sin 45\]

OpenStudy (anonymous):

just use that?

OpenStudy (anonymous):

5 mins for1 and 2!

OpenStudy (dumbcow):

question 5 is just like question 3 except you are adding \[\rightarrow \sin (\frac{\pi}{2}+\frac{\pi}{7})\]

OpenStudy (anonymous):

9π/14?

OpenStudy (dumbcow):

haha dont wait til the last minute, im helping as fast as i can

OpenStudy (dumbcow):

yes ^

OpenStudy (anonymous):

lol, sorry, I've been working for 5 hours on this

OpenStudy (anonymous):

Ok just one!

OpenStudy (anonymous):

We can do it!!!

OpenStudy (dumbcow):

use the half angle formula from the wiki page

OpenStudy (anonymous):

0.99811698

OpenStudy (dumbcow):

\[\cos \frac{x}{2} = \sqrt{\frac{1+\cos x}{2}}\]

OpenStudy (dumbcow):

you need exact value not decimal

OpenStudy (anonymous):

What is it? I have the decimal but I can't get it the exact value

OpenStudy (anonymous):

Thanks for all of the help! Just gotta get through this last one!

OpenStudy (dumbcow):

\[-\frac{\sqrt{2-\sqrt{3}}}{2}\] this is what i get

OpenStudy (anonymous):

That's not even one of the answers!

OpenStudy (anonymous):

It's close to one, let me see if it's the right answer... I have to turn this in now!

OpenStudy (anonymous):

It's not the right answer and is not close to the correct answer! Thanks for all the help! YOUR GREAT

OpenStudy (anonymous):

for a cow...

OpenStudy (dumbcow):

its the first option

OpenStudy (anonymous):

damn.

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