Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Activity 2. Please Answer All
will carry the same letter syn . the side opposite ZA is a I that: rimary functions: opposite Sine sin x= hypotenuse adjacent Cosine cos x = hypotenuse opposite adjacent Tangent tan x = In the following table, note how each function is the reciprocal of one of the basic functions sin, cos, tan. hypotenuse 1 Cosecant csc x = cse x = sin x hypotenuse soddo 1 Secant sec x = sec x = coS X adjacent adjacent 1 cot x = Cotangent cot x = opposite tanx SOH-CAH-TOА → is a mnemonic used for remembering the equations. → these 9 letters are a memory aid to remember the ratios for the three primary functions - sin, cos and tan. » pronounced a bit like "soka towa". - their ratios are constant because the functions are a ratio of two side lengths so they always produce the same result for a given angle, regardless of the size of the triangle. Activity 2: What Makes You Special? 1. Given the angles of the triangles below, find the values of the six trigonometric ratios. Then answer the questions that follow. Let a be the leg of a 45° – 45° - 90° Triangle. Let a be the shorter leg of a 30° – 60° – 90º Triangle. 45" 2a 60 a 30 45 sin 45° = sec 45° = sin 30° = sec 30° = cos 45° = csc 45°= cos 30° = csc 30° = tan 45° = cot 45° = tan 30° = cot 30°= 3 2022/05/15 19:32
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Transcribed Image Text:will carry the same letter syn . the side opposite ZA is a I that: rimary functions: opposite Sine sin x= hypotenuse adjacent Cosine cos x = hypotenuse opposite adjacent Tangent tan x = In the following table, note how each function is the reciprocal of one of the basic functions sin, cos, tan. hypotenuse 1 Cosecant csc x = cse x = sin x hypotenuse soddo 1 Secant sec x = sec x = coS X adjacent adjacent 1 cot x = Cotangent cot x = opposite tanx SOH-CAH-TOА → is a mnemonic used for remembering the equations. → these 9 letters are a memory aid to remember the ratios for the three primary functions - sin, cos and tan. » pronounced a bit like "soka towa". - their ratios are constant because the functions are a ratio of two side lengths so they always produce the same result for a given angle, regardless of the size of the triangle. Activity 2: What Makes You Special? 1. Given the angles of the triangles below, find the values of the six trigonometric ratios. Then answer the questions that follow. Let a be the leg of a 45° – 45° - 90° Triangle. Let a be the shorter leg of a 30° – 60° – 90º Triangle. 45" 2a 60 a 30 45 sin 45° = sec 45° = sin 30° = sec 30° = cos 45° = csc 45°= cos 30° = csc 30° = tan 45° = cot 45° = tan 30° = cot 30°= 3 2022/05/15 19:32
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