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Find each exact function value. See Example 2.
csc 11π/6
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Ch. 3 - Radian Measure and The Unit Circle
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891
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TOC.tableOfContents
- Ch. R - Algebra Review381
- Ch. 1 - Trigonometric Functions188
- Ch. 2 - Acute Angles and Right Triangles168
- Ch. 3 - Radian Measure and The Unit Circle155
- Ch. 4 - Graphs of the Circular Functions100
- Ch. 5 - Trigonometric Identities238
- Ch. 6 - Inverse Circular Functions and Trigonometric Equations158
- Ch. 7 - Applications of Trigonometry and Vectors148
- Ch. 8 - Complex Numbers, Polar Equations, and Parametric Equations15
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891Non è quello che usi tu?Cambia libro di testo
Capitolo 4, Problema 22
Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). 3600°
Guida verificata passo dopo passo1
Recall the formula to convert degrees to radians: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
Substitute the given degree measure into the formula: \(3600^\circ \times \frac{\pi}{180}\).
Simplify the fraction \(\frac{3600}{180}\) by dividing numerator and denominator by their greatest common divisor.
Express the result as a multiple of \(\pi\) after simplification.
Write the final answer in the form \(k\pi\), where \(k\) is the simplified numerical coefficient.
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Degree to Radian Conversion
Degrees and radians are two units for measuring angles. To convert degrees to radians, multiply the degree measure by π/180. This conversion is essential because radians are the standard unit in many mathematical contexts, especially calculus and trigonometry.
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Percorso guidato
5:04
Converting between Degrees & Radians
Understanding Multiples of π
Expressing angles as multiples of π simplifies the representation of radian measures. Since π radians equal 180°, writing answers in terms of π helps maintain exact values without decimal approximations, which is important for precision in trigonometric calculations.
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Percorso guidato
5:37Introduction to Cotangent Graph
Simplification of Fractions
After converting degrees to radians, the resulting fraction should be simplified to its lowest terms. This makes the radian measure clearer and easier to interpret, especially when dealing with large degree values like 3600°, ensuring the answer is concise and exact.
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Percorso guidato
4:02Solving Linear Equations with Fractions
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