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T07_Trigonometry_Functions

# T07_Trigonometry_Functions - PMC 0045 Pre-Calculus for...

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Unformatted text preview: PMC 0045 Pre-Calculus for Engineering Foundation in Engineering ONLINE NOTES Topic 7 Trigonometric Functions FOSEE , MULTIMEDIA UNIVERSITY (436821-T) MELAKA CAMPUS, JALAN AYER KEROH LAMA, 75450 MELAKA, MALAYSIA. Tel 606 252 3594 Fax 606 231 8799 URL: http://fosee.mmu.edu.my/~asd/ Mathematics Department (MD) Centre for Foundation Studies and Extension Education (FOSEE) PMC0045 Pre-Calculus for Engineering Topic 7 TOPIC 7: TRIGONOMETRIC FUNCTIONS References : 1. Sullivan, M. (2002), Algebra & Trigonometry , 6 th Ed., Prentice Hall. 2. Blitzer, R., Goh Wei Wei, et.al. (2005), Algebra & Trigonometry , Prentice Hall. Objectives: 1. Convert an angle from radian measure to degree measure and vice versa. 2. Understand the relationship among all trigonometric functions and be able to find the value of each of them. 3. Understand what is meant by complementary angles, cofunctions, coterminals, reference angles, and be able to find them. Contents: 7.1 Angles and Their Measure 7.2 Right Triangle Trigonometry 7.3 Trigonometric Functions of Any Angle 7.4 Trigonometric Functions of Real Numbers 7.1 ANGLES AND THEIR MEASURE Angles are measured in either degrees or radians. Degrees : • One complete revolution = 360 • One quarter of a complete revolution = 90 = one right angle • One degree equals 60 minutes, i.e. 1 60 = ′ . • One minute equals 60 seconds, i.e. ′ = ′′ 1 60 . Radians : • One complete revolution = 2 π radians = 2 π c • One radian is the angle subtended at the center of a circle by an arc of the circle equal in length to the radius of the circle. Note: 1 180 = π c 1 180 c = π Degrees 30 45 60 90 180 360 Radians π /6 π /4 π /3 π /2 π 2 π ______________________________________________________________________________________ Mathematics Dept 2/8 PMC0045 Pre-Calculus for Engineering Topic 7 Note : Let α and β be positive angles. If 90 = + β α ,they are complementary angles....
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T07_Trigonometry_Functions - PMC 0045 Pre-Calculus for...

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