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Day 12 Trigonometric Inverses (2).notebook
1
August 18, 2017
Aug 169:59 AM
Warm-up1. How do you find the inverse of a function?
2. What is a one-to-one function?
3. Find the inverse of f(x) = 3x - 9
May 127:11 PM
Example 5:
Day 12 Trigonometric Inverses (2).notebook
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August 18, 2017
May 127:16 PM
Example 6:
May 138:18 AM
Example 7:
Day 12 Trigonometric Inverses (2).notebook
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August 18, 2017
Aug 168:05 AM
Example 8:
Sep 59:08 AM
Inverses of Trigonometric Functions
3 5If tan = , find the measure of ?
Day 12 Trigonometric Inverses (2).notebook
4
August 18, 2017
Sep 79:46 PM
What makes a function invertible?
How could I make a periodic function invertible?
Aug 162:44 PM
1.57
Normal:D:
R:
Inverse:D:
R:
Day 12 Trigonometric Inverses (2).notebook
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August 18, 2017
Aug 162:52 PM
3.14
Normal:D:
R:
Inverse:D:
R:
Aug 162:56 PM
1.57
Normal:D:
R:
Inverse:D:
R:
Day 12 Trigonometric Inverses (2).notebook
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August 18, 2017
Aug 164:08 PM
NORMAL vs. INVERSERadians/Degrees = inputs (domain) vs. outputs (range)Coordinates = outputs (range) vs. inputs (domain)
Unit Circle
arcsine's range:
arccosine's range:
arctangent's range:
Sep 79:20 PM
Using a unit circle, find the angle.1. sin1 (1/2) 6. arctan (√3)
2. arccos (1) 7. cos1 (√2/2)
3. arctan (1) 8. arcsin (0)
4. cos1 (√3/2) 9. sin1 (√3/2)
5. sin1 (√2/2) 10. arccos (1/2)
Day 12 Trigonometric Inverses (2).notebook
7
August 18, 2017
Sep 79:24 PM
Using a calculator, find the angle.1. arcsin (.75)
2. arccos (.30)
3. arctan (3.5)
4. arctan (25)
5. arccos (.85)
Sep 79:31 PM
Use the properties of inverses, evaluate.1. sin (arccos (1/2))
2. arcsin (cos (5π/4))
3. arctan (tan (2π/3))
4. tan (arctan (-20))
Day 12 Trigonometric Inverses (2).notebook
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August 18, 2017
Sep 79:37 PM
Find the exact value of the expression.1. cos (arcsin(2/3))
2. sin (arctan (3/4))
3. tan (arcsin (5/8))
4. cos (arctan (4/3))
Sep 711:35 PM
Practice makes Perfect!