Academy Algebra II/Trig Pre-Calculus (5.1, 5.2)

1
Academy Algebra II/TrigPre-Calculus (5.1, 5.2)

• 8.3 Trigonometric Identities
• HW today none,
• Tomorrow p.625-626 (20, 24, 32, 38, 50, 54, 78,
  86)
• Quiz 8.3 (PC 5.1-5.2) Monday, May 19th
• (Bio-Testing 20th and 21st)

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Trig Identities

• Reciprocal Identities
• Quotient Identities

3
Trig Identities

• Pythagorean Identities
• Even/Odd Identities

4
Trig Identities

• Cofunction Identities (section 7.6)

5
Simplify the Trig Expression
6
Simplify the Trig Expression

• P.381 (22)

Check using your calculator Y1 Question Y2
Answer Check graphs/tables are the
same
7
Verify.

• P.381 (30)

8
Verify the Identity Algebraically.

• P.381 (46)

9
Verify the Identity Algebraically.

• P.381 (56)

10
Factor the expression and simplify.

• P.381 (64)

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5.2 Verifying Trig Identities

• 1.) Work with one side of the equation.
• 2.) Look for opportunities to factor an
  expression, add fractions, square a binomial, or
  create a monomial denominator.
• 3.) Look for opportunities to use the
  fundamental identities.
• 4.) If the preceding guidelines do not help, try
  converting to all sines and cosines.
• 5.) Try something! Even making an attempt that
  leads to a dead end gives insight.

12
Verify.

• P.381 (66)

13
Multiply and simplify.

• P.381 (72)

14
Verify.

• P.381 (76)

15
Verify the Identity.
16
Verify the Identity.
17
Verify the Identity.
18
Verify the Identity.
19
Verify the Identity.
20
Verify the Identity.
21

• Homework Study for Quiz 8.3 tomorrow
• Practice p.625-626 (25, 33, 35, 37, 39, 41,
  45, 55, 61)