TRIGONOMETRIC FUNCTIONS

TRIGONOMETRIC FUNCTIONS Trigonometry TRIGONOMETRIC FUNCTIONS This chapter covers the six trigonometric functions and solving right triangles. EO 1.2 Given the following trigonometric terms, IDENTIFY the related function: a. Sine b. Cosine c. Tangent d. Cotangent e. Secant f. Cosecant EO 1.3 Given a problem, APPLY the trigonometric functions to solve for the unknown. As shown in the previous chapter, the lengths of the sides of right triangles can be solved using the Pythagorean theorem. We learned that if the lengths of two sides are known, the length of the third side can then be determined using the Pythagorean theorem. One fact about triangles is that the sum of the three angles equals 180°. If right triangles have one 90° angle, then the sum of the other two angles must equal 90°. Understanding this, we can solve for the unknown angles if we know the length of two sides of a right triangle. This can be done by using the six trigonometric functions. In right triangles, the two sides (other than the Figure 2 Right Triangle hypotenuse) are referred to as the opposite and adjacent sides. In Figure 2, side a is the opposite side of the angle q and side b is the adjacent side of the angle q. The terms hypotenuse, opposite side, and adjacent side are used to distinguish the relationship between an acute angle of a right triangle and its sides. This relationship is given by the six trigonometric functions listed below: (4-2) sine q a c opposite hypotenuse (4-3) cosine q b c adjacent hypotenuse MA-04 Page 4 Rev. 0