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Trig Functions – Part 2 3 2 1 Tangent & Cotangent Identities Pythagorean Identities Practice Problems

Trig Functions – Part 2 33 22 11 Tangent & Cotangent Identities Pythagorean Identities Practice Problems

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Page 1: Trig Functions – Part 2 33 22 11 Tangent & Cotangent Identities Pythagorean Identities Practice Problems

Trig Functions – Part 2

3

2

1Tangent & Cotangent Identities

Pythagorean Identities

Practice Problems

Page 2: Trig Functions – Part 2 33 22 11 Tangent & Cotangent Identities Pythagorean Identities Practice Problems

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Tangent & Cotangent Identities

Page 3: Trig Functions – Part 2 33 22 11 Tangent & Cotangent Identities Pythagorean Identities Practice Problems

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Pythagorean Identities

Page 4: Trig Functions – Part 2 33 22 11 Tangent & Cotangent Identities Pythagorean Identities Practice Problems

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Signs of Trigonometric Functions

Page 5: Trig Functions – Part 2 33 22 11 Tangent & Cotangent Identities Pythagorean Identities Practice Problems

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Signs of Trigonometric FunctionsQuadrant Containin

g Q

Positive Functions Negative Functions

I All None

II Sine, Cosecant Cosine, Secant, Tangent, Cotangent

III Tangent, Cotangent Sine, Cosecant, Cosine, Secant

IV Cosine, Secant Sine, Cosecant, Tangent, Cotangent

Page 6: Trig Functions – Part 2 33 22 11 Tangent & Cotangent Identities Pythagorean Identities Practice Problems

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Example

Page 7: Trig Functions – Part 2 33 22 11 Tangent & Cotangent Identities Pythagorean Identities Practice Problems

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Another Example

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Proof Example

Page 9: Trig Functions – Part 2 33 22 11 Tangent & Cotangent Identities Pythagorean Identities Practice Problems

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Proof Example (Cont.)

Page 10: Trig Functions – Part 2 33 22 11 Tangent & Cotangent Identities Pythagorean Identities Practice Problems

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Verifying an Identity ExampleVerify the following identity by

transforming the left-hand side into the right-hand side.

Page 11: Trig Functions – Part 2 33 22 11 Tangent & Cotangent Identities Pythagorean Identities Practice Problems

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Verifying an Identity Example (Cont.)

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Practice Problems

Page 426Problems 35-53 odd