5. Inverse Trigonometric Functions and Basic Trigonometric Equations

Inverse Sine, Cosine, & Tangent

Open Question
Write each trigonometric expression as an algebraic expression in u, for u > 0.
cos (arcsin u)
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Open Question
Write each trigonometric expression as an algebraic expression in u, for u > 0.
sin (2 sec⁻¹ u/2)
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Open Question
In Exercises 1–26, find the exact value of each expression._cos⁻¹ √3/2
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Open Question
In Exercises 1–26, find the exact value of each expression._cos⁻¹ (- √2/2)
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Open Question
In Exercises 1–26, find the exact value of each expression._tan⁻¹ √3/3
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Open Question
In Exercises 1–26, find the exact value of each expression._tan⁻¹ (−√3)
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Open Question
In Exercises 1–26, find the exact value of each expression._cot⁻¹ √3
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Open Question
In Exercises 1–26, find the exact value of each expression._cot⁻¹ (−√3)
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Open Question
In Exercises 1–26, find the exact value of each expression._csc⁻¹ (− 2√3/3)
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Open Question
In Exercises 1–26, find the exact value of each expression._sec⁻¹ (−√2)
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Open Question
In Exercises 27–38, use a calculator to find the value of each expression rounded to two decimal places.sin⁻¹ 0.3
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Open Question
In Exercises 27–38, use a calculator to find the value of each expression rounded to two decimal places.sin⁻¹ (-0.32)
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Open Question
In Exercises 27–38, use a calculator to find the value of each expression rounded to two decimal places.cos⁻¹ 3/8
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Open Question
In Exercises 29–51, find the exact value of each expression. Do not use a calculator._sin⁻¹ (− √3/2)
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Open Question
In Exercises 29–51, find the exact value of each expression. Do not use a calculator.cos⁻¹ (− 1/2)
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