SOLUTION:
13-1 Trigonometric Identities
a. Given
.
b. Given
.
c.
36. MULTIPLE REPRESENTATIONS In this problem, you will use a graphing calculator to determine whether an
2
2
2
2
equation may be a trigonometric identity. Consider the trigonometric identity tan
θ – sin
θ = tan
θ sin
θ.
a. TABULAR Complete the table.
2
2
2
2
b. GRAPHICAL Use a graphing calculator to graph tan
θ – sin
θ = tan
θ sin
θ as two separate functions.
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Sketch the graph.
c. ANALYTICAL If the graphs of the two functions do not match, then the equation is not an identity. Do the
graphs coincide?