Trigonometric Functions Of General Angles Worksheet Template (Page 3 of 6) in pdf

Trigonometric Functions Of General Angles Worksheet Template Page 3

Trigonometric functions of coterminal angles are equal. 

 







sec

For example, sin (390) = sin (30) = ________. And



________









Example 3: Use a coterminal angle to find the exact value of each expression.

a) cos 495

b) cot 420







sin

d) tan (18)









DETERMINE THE SIGNS OF THE TRIGONOMETRIC FUNCTIONS OF AN ANGLE IN A GIVEN QUADRANT

Moving counterclockwise and starting in Quadrant I, label the quadrants in the

figure to the right 'A' (for "All"), 'S' (Sine), 'T' (Tangent), and 'C' (Cosine). These

letters represent which of the 3 main trig functions are positive in each

quadrant. For instance, Quadrant III contains the letter T, so Tangent is

positive there. Come up with a mnemonic of your own to help you remember

the order of the letters:

_______________________________________________________________

FIND THE REFERENCE ANGLE OF A GENERAL ANGLE

For any angle , you can find an acute reference angle formed by the terminal side of  and the x-axis. The easiest way

to do this is to graph the angle, then identify the closest acute angle that gets you to the x-axis. The reference angle is

the shortest distance between the terminal side of the angle and the x-axis.

Example 4: Find the reference angle for the following angles.



a) 150



7.4

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Trigonometric Functions Of General Angles Worksheet Template Page 3