Algebra II Honors 9.7: Using Trigonometric Identities (PC 5.1, 5.2) HW: p.517 (12-20 even, 24-30 even)

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Presentation transcript:

Algebra II Honors 9.7: Using Trigonometric Identities (PC 5.1, 5.2) HW: p.517 (12-20 even, 24-30 even)

Trig Identities Pythagorean Identities Even/Odd Identities

Trig Identities Cofunction Identities

Simplify the Trig Expression

Simplify the Trig Expression PC: P.381 (#22) Check using your calculator: Y1= Question Y2= Answer Check: graphs/tables are the same

Simplify the Trig Expression PC: P.381 (#30)

Verify the Identity Algebraically. PC: P.381 (#46)

Verify. PC: P.381 (#66)

Verifying Trig Identities 1.) Work with one side. 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.

Verify the Identity Algebraically. PC: P.381 (#56)

Multiply and simplify. PC: P.381 (#72)

Verify. PC: P.381 (#76)

Verify the Identity.

Verify the Identity.

Verify the Identity.

Verify the Identity.