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 = (-1/2, √3/2) is the point on the unit circle that corresponds to t. Use the figure to find the values of the trigonometric

Question

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 [latex]P=\left(-\frac{1}{2}, \frac{\sqrt{3}}{2}\right)[/latex] is the point on the unit circle that corresponds to t. Use the figure to find the values of the trigonometric functions at t.

Accepted Answer

The point P on the unit circle that corresponds to t has coordinates [latex]\left(-\frac{1}{2}, \frac{\sqrt{3}}{2}\right)[/latex]. We use [latex]x=-\frac{1}{2}[/latex] and [latex]y=\frac{\sqrt{3}}{2}[/latex] 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.

Question 4.2.1: Finding Values of the Trigonometric Functions In Figure 4.22...

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