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Warm Up Evaluate each of the following.
1) cos (150 ○) 2) sin (360 ○) 3) 4) ) ) 7) tan(240○) ) csc(-225○) 9) cot(20π/3) ) sec(- π/4)
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Pass up your homework and clear your desk for the QUIZ
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Homework Answers
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Homework Answers
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Sum, Difference, and Half Angle Identities
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Use your calculator to approximate cos75°.
Make sure you’re in Degree Mode! Does cos(30°+45°) = cos30° + cos45°?
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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° Sec75°
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sin(A + B) = sinA cosB + cosA sinB sin(A - B) = sinA cosB - cosA sinB
Memorize these sin(A + B) = sinA cosB + cosA sinB sin(A - B) = sinA cosB - cosA sinB Examples Calculate: Sin(7π/12) Csc(7π/12)
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Practice
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Memorize these Example: Calculate
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More Examples
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Half Angle Identities… (You do not have to memorize these)
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Use the half angle identity to evaluate…
1. tan(π/8) 2. sin(105°)
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