TRIGONOMETRIC FUNCTIONS TrigonometryTRIGONOMETRIC FUNCTIONSThis chapter covers the six trigonometric functions and solving right triangles.EO 1.2 Given the following trigonometric terms, IDENTIFY therelated function:a. Sineb. Cosinec. Tangentd. Cotangente. Secantf. CosecantEO 1.3 Given a problem, APPLY the trigonometric functions tosolve for the unknown.As shown in the previous chapter, the lengths of the sides of right triangles can be solved usingthe Pythagorean theorem. We learned that if the lengths of two sides are known, the length ofthe third side can then be determined using the Pythagorean theorem. One fact about trianglesis that the sum of the three angles equals 180°. If right triangles have one 90° angle, then thesum of the other two angles must equal 90°. Understanding this, we can solve for the unknownangles if we know the length of two sides of a right triangle. This can be done by using the sixtrigonometric functions.In right triangles, the two sides (other than theFigure 2 Right Trianglehypotenuse) are referred to as the opposite and adjacentsides. In Figure 2, side a is the opposite side of theangle q and side b is the adjacent side of the angle q.The terms hypotenuse, opposite side, and adjacent sideare used to distinguish the relationship between an acuteangle of a right triangle and its sides. This relationshipis given by the six trigonometric functions listed below:(4-2)sine qacoppositehypotenuse(4-3)cosine qbcadjacenthypotenuseMA-04 Page 4 Rev. 0
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