Academy Algebra II Pre-Calculus (5.1, 5.2)

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Presentation transcript:

Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)

Trig Identities Reciprocal Identities Quotient Identities

Trig Identities Pythagorean Identities Even/Odd Identities

Trig Identities Cofunction Identities

Simplify the Trig Expression

Simplify the Trig Expression Check using your calculator: Y1= Question Y2= Answer Check: graphs/tables are the same

Verify.

Verify the Identity Algebraically.

Verify the Identity Algebraically.

Factor the expression and simplify.

5.2: Verifying Trig Identities 1.) Work with one side of the equation. 2.) Algebra: Look for opportunities to factor an expression, add fractions, square a binomial, or create a monomial denominator. 3.) Trig: 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.

Multiply and simplify.

Verify.

Verify the Identity.

Verify the Identity.

Verify the Identity.

Verify the Identity.

Verify the Identity.

Verify the Identity.