Question

I am not sure how to solve this, PLEASE HELP
---pi/3sinpi/6=1/2(sinpi/2-sinpi/6)

Answer 1

\[\large \frac{\pi}{3sin(\frac{\pi}{6})} = \frac{1}{2(sin(\frac{\pi}{2} -sin(\frac{\pi}{6})))}\]

Not sure what your question is supposed to look like..lol like this?

Answer 2

nooo, the lines at the begining I think are there to say that something is missing in the equation to make both sides equal.
its "blank" pi/3 sin pi/6 = 1/2 (sin pi/2 - sin pi/6)

Answer 3

\["blank" \pi/3 \sin \pi/6 = 1/2(\sin \pi/2 - \sin \pi/6)\]

Answer 4

Often important info is lost in translation when you read a math problem and try to input it into OpenStudy. In a case like this you could often be more accurate by using parentheses liberally, or by taking a cell phone photo of the problem in question and uploading it to OpenStudy.

Answer 5

Oh! okay so

\[\large \text{"Blank"}\frac{\pi}{3}sin\frac{\pi}{6} = \frac{1}{2}(sin(\frac{\pi}{2}) - sin(\frac{\pi}{6})))\]

Well, lets just simplify a bit using what we know

\(\large sin(\frac{\pi}{6}) = sin(30) = \frac{1}{2}\)
\(\large sin(\frac{\pi}{2}) = sin(90) = 1\)

So

\[\large \text{"Blank"}\frac{\pi}{3}(\frac{1}{2}) = \frac{1}{2}(1 - \frac{1}{2})\]
\[\large \text{"Blank"}\frac{\pi}{3}(\frac{1}{2}) = \frac{1}{2}(\frac{1}{2})\]
\[\large \text{"Blank"}\frac{\pi}{3}(\frac{1}{2}) = \frac{1}{4}\]
\[\large \text{"Blank"}\frac{\pi}{3} = \frac{1}{2}\]

So now, what trig function when evaluated at pi/3 gives you 1/2??

Answer 6

Tell me if any lines confuse you!! :)

Answer 7

Oh I see so it is either going to be sin, cos, tan, cot, or sec?

Answer 8

Right! It makes sense right? you want to make the Left hand side = Right hand side...so we definitely need to have a trig function be the answer

Answer 9

alright and by looking at the unit curcle, you can see that it is indeed cosine of pi/3 that is equal to 1/2

Answer 10

Indeed :P

So I *just I* would assume the answer they want, is the blank needs to be replaced by cos

Answer 11

can you help with another one?

Answer 12

I actually have to head out to work now hun :/ sorry! But there are many others who I know can help you :D

Answer 13

okay thats fine!