Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B. B a=9, c=41

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B.
a = 9, c = 41
The unknown side length b is.
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
sin B =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
cos B =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
tan B =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
csc B =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
sec B =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
cot B =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Transcribed Image Text:Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B. a = 9, c = 41 The unknown side length b is. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) sin B = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) cos B = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) tan B = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) csc B = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) sec B = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) cot B = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
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