SOLUTION: Hello, I was hoping you could walk me through the steps of a homework question I am having trouble on. There are six of them, but once I understand how to solve them, I would like

Algebra ->  Trigonometry-basics -> SOLUTION: Hello, I was hoping you could walk me through the steps of a homework question I am having trouble on. There are six of them, but once I understand how to solve them, I would like      Log On


   

Question 958281: Hello, I was hoping you could walk me through the steps of a homework question I am having trouble on. There are six of them, but once I understand how to solve them, I would like the solve the other five. Thank you in advance!
Question: Find each value of the given points that fall on the unit circle.
Point: (0.978,0.208)
Answer: sinθ___________ cosθ___________ θ___________
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
On the unit circle, the x-coordinate of a point is the cos and the y-coordinate is the sin of the angle whose terminal side passes through that point.

So cos%28theta%29+=+0.978 andsin%28theta%29+=+0.208

Since both sin and cos are positive, the angle terminates in the first quadrant. To find such an angle just use the inverse cos or inverse sin button on your calculator. Remember to set your calculator to degrees or radians, whichever you desire, before entering the following:
cos-1(0.978) or sin-1(0.208)