Trigonometric Identities Worksheet With Answers Page 15
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2513-1 Trigonometric Identities
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2
2
2
b. GRAPHICAL Use a graphing calculator to graph tan
θ – sin
θ = tan
θ sin
θ as two separate functions.
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?
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2
2
d. ANALYTICAL Use a graphing calculator to determine whether the equation sec
x – 1 = sin
x sec
x may be
an identity. (Be sure your calculator is in degree mode.)
SOLUTION:
a.
b. KEYSTROKES:
2
2
2
Y= TAN ALPHA [x] ) x
– SIN ALPHA [x] ) x
ENTER TAN ALPHA [x] ) x
SIN
2
ALPHA [x] ) x
GRAPH
c. yes
d.
eSolutions Manual - Powered by Cognero
Page 15
2
2
2
Plug in sec
x – 1 for Y1 and sin
x sec
x for Y2 in a graphing calculator and form a table.
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