Trig Functions – Part 2

12
Trig Functions – Part 2 3 2 1 Tangent & Cotangent Identities Pythagorean Identities Practice Problems

description

Trig Functions – Part 2. 1. Tangent & Cotangent Identities. 2. Pythagorean Identities. 3. Practice Problems. Tangent & Cotangent Identities. Pythagorean Identities. Signs of Trigonometric Functions. Signs of Trigonometric Functions. Example. Another Example. Proof Example. - PowerPoint PPT Presentation

Transcript of Trig Functions – Part 2

Page 1: Trig Functions –  Part  2

Trig Functions – Part 2

3

2

1Tangent & Cotangent Identities

Pythagorean Identities

Practice Problems

Page 2: Trig Functions –  Part  2

2

Tangent & Cotangent Identities

Page 3: Trig Functions –  Part  2

3

Pythagorean Identities

Page 4: Trig Functions –  Part  2

4

Signs of Trigonometric Functions

Page 5: Trig Functions –  Part  2

5

Signs of Trigonometric FunctionsQuadrant Containin

g Q

Positive Functions Negative Functions

I All NoneII Sine, Cosecant Cosine, Secant, Tangent,

CotangentIII Tangent, Cotangent Sine, Cosecant, Cosine,

SecantIV Cosine, Secant Sine, Cosecant, Tangent,

Cotangent

Page 6: Trig Functions –  Part  2

6

Example

Page 7: Trig Functions –  Part  2

7

Another Example

Page 8: Trig Functions –  Part  2

8

Proof Example

Page 9: Trig Functions –  Part  2

9

Proof Example (Cont.)

Page 10: Trig Functions –  Part  2

10

Verifying an Identity ExampleVerify the following identity by

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

Page 11: Trig Functions –  Part  2

11

Verifying an Identity Example (Cont.)

Page 12: Trig Functions –  Part  2

12

Practice Problems Page 426

Problems 35-53 odd