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Math 1508 Names
Deriving the Trig Functions of 0◦,30◦,45◦,60◦, and 90◦
Turn in one worksheet, with work, per group. Please show all work for credit.
Each problem is worth 5 points. Solutions will be posted on WebCT tonight.
1. In this problem, you will use the unit circle to find the six trig functions of π
6.
(a) Draw the unit circle. Let P(x, y) be the corresponding point on the unit circle.
(b) Find the coordinates xand yby drawing an equilateral triangle with side 1 inside
the circle.
(c) Use P(x, y) to find the six trig functions of π
6.
2. In this problem, you will use the unit circle to find the six trig functions of π
4.
(a) Draw the unit circle. Let P(x, y) be the corresponding point on the unit circle.
(b) Find the coordinates xand yby drawing a 45◦−45◦−90◦triangle with hypotenuse
1, inside the circle.
(c) Use P(x, y) to find the six trig functions of π
4.
