Handouts10 - Calculus of Trigonometric Functions

# Handouts10 - Calculus of Trigonometric Functions - MATH0201...

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MATH0201 BASIC CALCULUS MATH0201 BASIC CALCULUS Calculus of Trigonometric Functions Dr. WONG Chi Wing Department of Mathematics, HKU MATH0201 BASIC CALCULUS Trigonometric Functions Trigonometric Functions on the Real Line Some Useful Identities Differentiation of Trigonometric Functions Integration of Trigonometric Functions MATH0201 BASIC CALCULUS Trigonometric Functions Trigonometric Functions on the Real Line Angle An angle is formed by rotating a ray about its endpoint. I The endpoint of the ray is called the vertex . I The initial position of the ray is called the initial side . I The ﬁnal position of the ray is called the terminal side . MATH0201 BASIC CALCULUS Trigonometric Functions Trigonometric Functions on the Real Line Deﬁnition 1 In the Cartesian plane, an angle is said to be in standard position if its vertex is at the origin and its initial side is along the positive x –axis. Angles can be represented by (real) numbers. I The direction of rotation may be counterclockwise or clockwise which will be considered to be positive and negative respectively. I Magnitudes are usually measured in degree or in radian .

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MATH0201 BASIC CALCULUS Trigonometric Functions Trigonometric Functions on the Real Line Deﬁnition 3 (Sine and Cosine Functions) The function which sends every real number x to the sine of an

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Handouts10 - Calculus of Trigonometric Functions - MATH0201...

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