2) Find the measure of angle CAB in radians. Explain how you know.
I got this question wrong because I didn't see the arc length so I didn't know how to do the problem.
Now that I see the arc length, here is my answer:
The arc length formula for radians is the central angle*radius, therefore we can derive the formula that the central angle is the arc length/radius.
Therefore, since the arc length is 15 cm and the radius is 5 cm, the measure of the central angle is 3 radians.
7) For this problem I forgot to put in the angle measure of each reference angle, so here are the angle measures.
a) The reference angle for 500 degrees is 40 degrees, since the 500 degree angle goes around the cirlce once and then goes around an additional 140 degrees, making its terminal side in the 2nd quadrant. The acute angle formed with the x-axis is therefore 40 degrees.
b) The reference angle for -5pi/3 is pi/3 because the angle -5pi/3 lies in the first quadrant, pi/3 radians away from the x-axis.
I missed one critical day during this section so I didn't ever fully learn the formulas on my own, which made this unit difficult for me.
No comments:
Post a Comment