Evaluate? help @amistre64 @ganeshie8 @SolomonZelman @Compassionate
\(\large\cos(\arctan\frac{3}{4})\)
Is it 4/5?
Evaluate \(\large\cos(2\pi+\arctan\frac{4}{3})\)
the first one, yes is 4/5.
the second one too. 4/5
The second one too? Can you show me how?
@SolomonZelman
Ohh, I did, arctan(3/4) instead of 4/3, lol (for the second one)
\(\normalsize\color{black}{ \cos\left\{ 2\pi+\arctan( \frac{4}{3}) \right\}=\cos(2\pi ) \cos\left\{ \arctan( \frac{4}{3}) \right\}-\sin(2\pi ) \sin\left\{ \arctan( \frac{4}{3}) \right\} }\)
Using the cos(a+b) rule. Tell me what you get after simplifying this expression?
umm....?
Well, you know that \(\normalsize\color{black}{ \cos(2\pi)=-1 }\) and \(\normalsize\color{black}{ \sin(2\pi)=0 }\)
If you need help, tag me back into the question.
Simplified to this? \(\large -\cos({\arctan\frac{4}{3}})\)
yes;)
omg, thanks so much. I got -0.6
yes:) that's correct!
wait..could it be 0.6? cause -0.6 isn't an answer choice.
It is -0.6, because the `cos(2π)` by which you multiplied, is -1. So it should be -0.6, not positive. I am failry sure.
that in a box, is cos 2 pi.
maybe the answer choice forgot the minus sign...
well, that is what you should talk to your teach about. Or maybe some info is missling. Like it has to be in first quadrant or something like this?
idk...questions at my school are really poorly written
but this is all you had? To evaluate, cos( 2pi + arctan(4/3) ) /
(the slash shouldn't be there)
yes, it is
"evaluate" and then that equation
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