Now, we can use those relationships to evaluate triangles that contain those special angles. We have already discussed the trigonometric functions as they relate to the special angles on the unit circle. We can use this right triangle to redefine sine, cosine, and the other trigonometric functions as ratios of the sides of a right triangle.įinding Trigonometric Functions of Special Angles Using Side Lengths If we drop a vertical line segment from the point \left(x,y\right)\\ to the x-axis, we have a right triangle whose vertical side has length y and whose horizontal side has length x. Figure 1 shows a point on a unit circle of radius 1. First, we need to create our right triangle. The value of the sine or cosine function of t is its value at t radians. In this section, we will extend those definitions so that we can apply them to right triangles. In earlier sections, we used a unit circle to define the trigonometric functions. Using Right Triangles to Evaluate Trigonometric Functions Use right triangle trigonometry to solve applied problems.Use the definitions of trigonometric functions of any angle.Use cofunctions of complementary angles.Use right triangles to evaluate trigonometric functions.
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