Objectives. Trigonometric Functions of Angles Evaluating Trigonometric Functions at Any Angle Trigonometric Identities Areas of Triangles. Trigonometric Functions of Angles.
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From the definition we see that the values of the trigonometric functions are all positive if the angle has its terminal side in Quadrant I.
This is because x and y are positive in this quadrant. [Of course, r is always positive, since it is simply the distance from the origin to the point P(x, y).] If the terminal side of is in Quadrant II, however, then x is negative and y is positive.
Thus, in Quadrant II the functions sin and csc are positive, and all the other trigonometric functions have negative values.