Here you are finding the angle/radian
Ask yourself what radian you get if you take the sine of it
In this case, pi over 6 is the principle value, meaning that this is the first value on the unit circle that will give you the answer 1/2.
-here I showed two answers but there really are infinite answers, although Math XL will only ask for the principle value.
You may also come across a problem like this:
First find the radian that will give you root 3 over 2:
Next find the cosine of pi over 3 and 2pi over 3:
Today we also learned a little bit about the graph of inverse sin
(When doing this on your calculator, make sure it is in radian mode)
Put into your calculator
Here .3 represents a y-value and .305 represents an x-value
Try graphing sin(x) in Y1 and .3 in Y2
If you trace the first intersection after zero you will fins that it's coordinates are (.305, .3)
And if you trace the next intersection (when the graph is going down) the point is (2.837, .3), which is the same as pi-.305
Important inverse sin formulas:(calc meaning the number you get in you calculator after doing inverse sin of .3)
For where the graph is going up (the side where (.305, .3) is):
For the other side:
Important inverse cosine formulas:
Mr.Corn's web page here
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