Question 4.2.1: Finding Values of the Trigonometric Functions In Figure 4.22...
Finding Values of the Trigonometric Functions
In Figure 4.22, t is a real number equal to the length of the intercepted arc of an angle that measures t radians and P=\left(-\frac{1}{2}, \frac{\sqrt{3}}{2}\right) is the point on the unit circle that corresponds to t. Use the figure to find the values of the trigonometric functions at t.
The point P on the unit circle that corresponds to t has coordinates \left(-\frac{1}{2}, \frac{\sqrt{3}}{2}\right). We use x=-\frac{1}{2} and y=\frac{\sqrt{3}}{2} to find the values of the trigonometric functions. Because radical expressions are usually written without radicals in the denominators, we simplify by rationalizing denominators where appropriate.
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