7.5 The Other Trigonometric Functions. 7.5 The Other Trig Functions. Objectives: Evaluate csc , sec and cot Vocabulary: Cosecant, Secant, Cotangent. Right Triangle Trig. Functions. Let be an acute angle of a right triangle. 7.5 The Other Trig Functions.
Evaluate csc, sec and cot
Vocabulary: Cosecant, Secant, Cotangent
Let be an acute angle of a right triangle.
Find the six trig functions of 330o .
[Solution] First draw the 330o angle.
Second, find the reference angle, 360o– 330o= 30o
To compute the trig functions of the 30o angle, draw the “special” triangle or recall from the table.
Determine the correct sign for the trig functions of 330o . Only the cosine and the secant are “+”.
[Solution] The six trig functions of 330o are:
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 3rd quadrant, only the tangent and cotangent are positive. All the other functions are negative..
We know that is the same as 45 , so the reference angle is 45 . Using the special triangle.
Note that the reference angle is .
Find the six trig functions for .
We will first draw the angle to determine the quadrant.