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Warm Up Evaluate each of the following. 1) cos (150 ○ ) 2) sin (360 ○ )3) 4) 5) 6) 7) tan(240 ○ ) 8) csc(-225 ○ ) 9) cot(20π/3) 10) sec(- π/4)

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Presentation on theme: "Warm Up Evaluate each of the following. 1) cos (150 ○ ) 2) sin (360 ○ )3) 4) 5) 6) 7) tan(240 ○ ) 8) csc(-225 ○ ) 9) cot(20π/3) 10) sec(- π/4)"— Presentation transcript:

1 Warm Up Evaluate each of the following. 1) cos (150 ○ ) 2) sin (360 ○ )3) 4) 5) 6) 7) tan(240 ○ ) 8) csc(-225 ○ ) 9) cot(20π/3) 10) sec(- π/4)

2 Pass up your homework and clear your desk for the QUIZ

3 Homework Answers

4

5 Sum, Difference, and Half Angle Identities

6 Use your calculator to approximate cos75°. – Make sure you’re in Degree Mode! Does cos(30°+45°) = cos30° + cos45°?

7 Sum/Difference Identities (You need to MEMORIZE these) cos(A + B) = cosA cosB - sinA sinB cos(A - B) = cosA cosB + sinA sinB Examples Calculate: 1. Cos75°2. Sec75°

8 Memorize these sin(A + B) = sinA cosB + cosA sinB sin(A - B) = sinA cosB - cosA sinB Examples Calculate: 1.Sin(7π/12) 2.Csc(7π/12)

9 Practice

10 Example: Calculate Memorize these

11 More Examples

12 Half Angle Identities… (You do not have to memorize these)

13 Use the half angle identity to evaluate… 1. tan(π/8)2. sin(105°)


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