Pre-Calc Exam Notes 2

Pre-Calc Exam Notes 2 - the table below to represent angles...

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2 Chapter 1 Right Triangle Trigonometry §1.1 (a) Two acute angles are complementary if their sum equals 90 . In other words, if 0 A , B 90 then A and B are complementary if A + B = 90 . (b) Two angles between 0 and 180 are supplementary if their sum equals 180 . In other words, if 0 A , B 180 then A and B are supplementary if A + B = 180 . (c) Two angles between 0 and 360 are conjugate (or explementary ) if their sum equals 360 . In other words, if 0 A , B 360 then A and B are conjugate if A + B = 360 . A B (a) complementary A B (b) supplementary A B (c) conjugate Figure 1.1.2 Types of pairs of angles Instead of using the angle notation A to denote an angle, we will sometimes use just a capital letter by itself (e.g. A , B , C ) or a lowercase variable name (e.g. x , y , t ). It is also common to use letters (either uppercase or lowercase) from the Greek alphabet, shown in
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Unformatted text preview: the table below, to represent angles: Table 1.1 The Greek alphabet Letters Name Letters Name Letters Name A α alpha I ι iota P ρ rho B β beta K κ kappa Σ σ sigma Γ γ gamma Λ λ lambda T τ tau ∆ δ delta M µ mu Υ υ upsilon E ǫ epsilon N ν nu Φ φ phi Z ζ zeta Ξ ξ xi X χ chi H η eta O o omicron Ψ ψ psi Θ θ theta Π π pi Ω ω omega In elementary geometry you learned that the sum of the angles in a triangle equals 180 ◦ , and that an isosceles triangle is a triangle with two sides of equal length. Recall that in a right triangle one of the angles is a right angle. Thus, in a right triangle one of the angles is 90 ◦ and the other two angles are acute angles whose sum is 90 ◦ (i.e. the other two angles are complementary angles)....
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