Kemal G. answered • 04/28/17

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Hi Chloe,

Your answer to a looks correct.

For part b, all you need to figure out is what is the final rotation around the unit circle for 837π + t. Since the period is 2pi, we are only interested in the remainder after division by 2pi to figure out where we end in the unit circle.

837pi when divided by 2pi leaves a remainder of 1pi. So, we have pi+t. All you need to do is move pi radians from the terminal point of t, which should bring us to the fourth quadrant.

Now, you can find all the trigonometric functions paying attention to the signs in this quadrant. Remember x axis is positive and y axis is negative in the fourth quadrant.

I hope this all makes sense.