Math 124 Exam 2 Study Guide F19 - Math 124 \u2013 Exam 2 Study Guide Trigonometry McKeague 8th Ed Chapters 3 4 Definitions and Identities to be

Math 124 Exam 2 Study Guide F19 - Math 124 u2013 Exam...

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θ sin θ cos θ tan θ undefined Math 124 – Exam 2 Study Guide Trigonometry McKeague 8 th Ed. Chapters 3 & 4 Definitions and Identities to be Memorized Special Right Triangles Pythagorean Theorem If then . Distance Formula The distance between any two points and ( ) 2 2 , x y in the rectangular coordinate system is given by the formula: ( ) ( ) 2 2 2 1 2 1 r x x y y = + Reciprocal Identities 1 csc sin θ θ = 1 sin csc θ θ = 1 sec cos θ θ = 1 cos sec θ θ = 1 cot tan θ θ = 1 tan cot θ θ = Ratio Identities sin tan cos θ θ θ = cos cot sin θ θ θ = Definition I: Trigonometric Functions If θ is an angle is standard position and is any point on the terminal side of θ (other than the origin), then sin y r θ = csc r y θ = cos x r θ = sec r x θ = tan y x θ = cot x y θ = where 2 2 2 r x y = + or 2 2 r x y = . Pythagorean Identities and Equivalent Forms 2 2 cos sin 1 θ θ + = 2 cos 1 sin θ θ = ± 2 2 1 tan sec θ θ + = 2 sin 1 cos θ θ = ± Definition II: Trigonometric Functions If is a right triangle with , then Trigonometric Functions of Special Angles - Exact Values Signs of Trigonometric Functions by Quadrant

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