Use the symmetry of the circle and your knowledge of the exact values determined in Example 4, Example 5 and Exercise 3 to evaluate the following without using your calculator.
f.
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Converting from radians to degrees in Exercise 23-32, convert the radian measure to degree measure. Use a calculator to verify your result. See Example 3.
(a) What are the values of and ?
(b) Use your calculator to evaluate and . What do you notice? Can you explain why the calculator has trouble?
Find the exact value of by the following steps.
(a) Find two numbers a and b (that you know the exact trigonometric values of so from the unit circle) that add up to .
(b) Use the formula to find the exact value of .