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Advanced Math Name_________________________________________
Trig Identities Packet
Advanced Math – March 2018
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
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Quiz 6.6
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Trig
Identities
[D1]
HW:
Worksheet
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Trig Identities
[D2]
HW: Worksheet
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Trig Identities
[D3]
HW: Worksheet
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Review
Trig
Identities:
Odds
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11
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Review Trig
Identities:
Evens
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Quiz Trig
Identities
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Next Concept:
Sine & Cosine
Graphs
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16
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Advanced Math Trigonometric Identities [Day 1] NOTES
Pythagorean Identity
Solve the Pythagorean Identity for
Solve the Pythagorean Identity for
Take the Pythagorean Identity and divide every single term by
Solve the above equation for
Take the Pythagorean Identity and divide every single term by
Solve the above equation for
Some other identities:
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Example 1: Use Trigonometric Identities to write each expression in terms of a single trigonometric identity
or a constant.
a. b.
c. d.
Example 2: Simplify the complex fraction.
a.
b.
c.
d.
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Example 3: Simplify the complex fraction.
a.
b.
c.
d.
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Advanced Math Trigonometric Identities [Day 1] HOMEWORK
Use Trigonometric Identities to write each expression in terms of a single trigonometric identity or a constant.
1. 2.
1.)_________________
2.)_________________
3. 4.
3.)_________________
4.)_________________
Simplify the complex fraction.
5.
6.
5.)_________________
6.)_________________
7.
8.
7.)_________________
8.)_________________
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Advanced Math Trigonometric Identities [Day 2] NOTES
Example 1: Simplify
a.
b.
c.
d.
To VERIFY AN IDENTITY: Work on each side separately and make sure you don’t move things from one side to
the other! You can work on both sides at the same time – but you just can’t move things from one side to the
other.
Verify the identity.
Example 1:
Example 2:
Example 3: Factor
a.
b.
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Example 4: Verify the identity.
Example 5: Simplify
a.
There are two different ways you can leave this answer! In the notes,
leave it in terms of
. In the homework, you will be
“verifying” and leaving it in terms of
b.
c.
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Advanced Math Trigonometric Identities [Day 2] HOMEWORK
Simplify the complex fraction.
1.
2.
1.)_________________
2.)_________________
3.
4. 3.)_________________
4.)_________________
Verify the identity. Both sides should end up being equal, so you will not find these on the answer key.
5. 6.
7.
8.
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Verify the identity. Both sides should end up being equal, so you will not find these on the answer key.
9.
10.
11.
12.
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Advanced Math Trigonometric Identities [Day 3] NOTES
Example 1: Simplify
a.
b.
c.
d.
e.
f.
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Advanced Math Trigonometric Identities [Day 3] HOMEWORK
Simplify.
1.
2.
Verify the identity. Both sides should end up being equal, so you will not find these on the answer key.
3.
4.
5.
6.
7.
8.
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SOLUTIONS
D1
1. 2.
3. 4.
5. 6.
7. 8.
D2
1.
2. 3.
4.
D3
1. 2.
