7.5 The Other Trigonometric Functions

7.5 T HE O THER T RIG F UNCTIONS Objectives:  Evaluate csc, sec and cot Vocabulary: Cosecant, Secant, Cotangent

Right Triangle Trig. Functions

If is a second quadrant angle and sin is 3/5, find the remaining five functions. 7.5 T HE O THER T RIG F UNCTIONS

Find the six trig functions for: 330° 7.5 T HE O THER T RIG F UNCTIONS

x Find the six trig functions of 330 o. Second, find the reference angle, 360 o – 330 o = 30 o [Solution] First draw the 330 o angle. To compute the trig functions of the 30 o angle, draw the “special” triangle or recall from the table. Determine the correct sign for the trig functions of 330 o. Only the cosine and the secant are “+”. A S TC 330 o 30 o

[Solution] The six trig functions of 330 o are: Find the six trig functions of 330 o.

7.5 T HE O THER T RIG F UNCTIONS

A S TC Find the six trig functions of. y x Before we write the functions, we need to determine the signs for each function. Remember “All Students Take Calculus”. Since the angle,, is located in the 3 rd quadrant, only the tangent and cotangent are positive. All the other functions are negative..

7.5 T HE O THER T RIG F UNCTIONS

0 radians Find the six trig functions for. We will first draw the angle to determine the quadrant. A S TC We know that is the same as 45, so the reference angle is 45. Using the special triangle. Note that the reference angle is. We see that the angle is located in the 3rd quadrant.

TB p. 286#13-27 odd skip 19 & T HE O THER T RIG F UNCTIONS