Abstract
This chapter presents the definitions and the basic properties of trigonometric functions. One radian is the central angle of a circle subtended by an arc whose length equals the radius. The circumference of the circle is 2πr; therefore, the whole angle is 2π radians. The locus of all points one unit from the origin is a circle of radius 1, called the unit circle. If θ is any real number, then θ and θ ±2π represent the same point (x, y) on the unit circle. The cosine and the sine are the basic trigonometric functions; four other trigonometric functions are constructed from them. The tangent, cotangent, secant, and cosecant are all defined in terms of sine and cosine. They have symmetry and periodicity properties, stemming from similar properties of sine and cosine. The chapter also explains the graphs of trigonometric all the six functions.
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