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Suppose ABC is a right triangle with sides of lengths 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. Rationalize denominators when applicable. A b B a b= 4, c = 11

Suppose ABC is a right triangle with sides of lengths 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. Rationalize denominators when applicable. A b B a b= 4, c = 11

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 68E
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Next q Suppose ABC is a right triangle with sides of lengths 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. Rationalize denominators when applicable. A b C a b = 4, c= 11 The unknown side length a is (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the denominator.) sin B = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the denominator.) cos B = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the denominator.) tan B = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the denominator.) sec B = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the denominator.) csc B = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the denominator.) cot B = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the denominator.)
Transcribed Image Text:Next q Suppose ABC is a right triangle with sides of lengths 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. Rationalize denominators when applicable. A b C a b = 4, c= 11 The unknown side length a is (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the denominator.) sin B = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the denominator.) cos B = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the denominator.) tan B = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the denominator.) sec B = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the denominator.) csc B = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the denominator.) cot B = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize the denominator.)
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