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Section 2 – Trigonometric Ratios in Right Triangles

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Presentation on theme: "Section 2 – Trigonometric Ratios in Right Triangles"— Presentation transcript:

1 Section 2 – Trigonometric Ratios in Right Triangles
Chapter 5 Section 2 – Trigonometric Ratios in Right Triangles

2 Basics of Right Triangles

3 Trigonometric Ratios WORDS SYMBOL DEFINITION Sine Ѳ Sin Ѳ
Sin Ѳ = opp/hyp Cosine Ѳ Cos Ѳ Cos Ѳ = adj/hyp Tangent Ѳ Tan Ѳ Tan Ѳ = opp/adj

4 Memorizing Trig Ratios
Just a simple little thing… You can use SOH, CAH, TOA as the way to memorize which sides go with which trig ratios. Sin is opp/hyp, Cos is adj/hyp, and Tan is opp/adj.

5 Finding a Few EX 1: Find the values of the sine, cosine, and tangent for angle B. EX 2: Find the values of the sine, cosine, and tangent for angle A.

6 The Other Three Trig Ratios
WORDS SYMBOL DEFINITION Cosecant Ѳ Csc Ѳ Csc Ѳ = hyp/opp Secant Ѳ Sec Ѳ Sec Ѳ = hyp/adj Cotangent Ѳ Cot Ѳ Cot Ѳ = adj/opp You should have noticed that each of the first three trig ratios (sin, cos, and tan) are inverses with these three. Therefore, if sin Ѳ = 1/3, then csc Ѳ = 3.

7 Assignment Chapter 5, Section 2 pgs #5-8,10-22E,28,30


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