trig identities packet - grosse pointe public schools · 2017. 3. 16. · ans. key pg. 12] 16 trig...

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Advanced Math Name_________________________________________

Trig Identities Packet

March 2017 Sunday Monday Tuesday Wednesday Thursday Friday Saturday

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Quiz 6.6

15 Trig Identities [D1] HW: Packet Pg. 5 #1-8 [Ans. Key Pg. 12]

16 Trig Identities [D2] HW: Packet Pg. 8-9 #1-12 [Ans. Key Pg. 12]

17 Trig Identities [D3] HW: Packet Pg. 11 #1-8 [Ans. Key Pg. 12]

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19 20 Review Trig Identities: Odds

21 Review Trig Identities: Evens

22 Quiz Trig Identities

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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.