1 8.1 inverse trigonometric functions in this section, we will study the following topics:...
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8.1 Inverse Trigonometric Functions
In this section, we will study the following topics:
Definitions of the inverse trig functions
Evaluating inverse sine, cosine, and tangent functions by hand and using the calculator.
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Summary of the Inverse Trig Functions
Function Domain Range
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1
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sin sin 1 12 2
cos cos 1 1 0
tan tan2 2
y x iff x y x y
y x iff x y x y
y x iff x y x y
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Evaluate the following inverse trig functions without using the
calculator. Give the exact answer in radians, in terms of .
1 111. sin 2. sin 1
2
Examples
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1 1 23. cos 0 4. cos
2
Evaluate the following inverse trig functions without using the
calculator. Give the exact answer in radians, in terms of .
Examples
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1 15. tan 1 6. tan 3
Examples
Evaluate the following inverse trig functions without using the
calculator. Give the exact answer in radians, in terms of .
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Evaluate the following inverse trig functions using the
calculator. Give your answer in degrees, to the nearest tenth.
1 137. tan 8. sin 2.64
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Examples
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1 1 59. cos 0.15 10. tan
2
Examples
Evaluate the following inverse trig functions using the
calculator. Give your answer in degrees, to the nearest tenth.
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Example
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End of Section 8.1
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