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Warm Up

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(20 π /3) 10) sec(- π /4).

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Warm Up

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  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. Sum, Difference, Double and Half Angle Identities

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

  4. Sum/Difference Identities(You need to MEMORIZE these) • cos(A + B) = cosAcosB - sinAsinB • cos(A - B) = cosAcosB + sinAsinB Examples Calculate: 1. Cos75° 2. Sec75°

  5. (You need to MEMORIZE these) • sin(A + B) = sinAcosB + cosAsinB • sin(A - B) = sinAcosB - cosAsinB Examples Calculate: • Sin(7π/12) • Csc(7π/12)

  6. Practice

  7. (You need to MEMORIZE these) Example: Calculate

  8. More Examples

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

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

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