Use the Pythagorean Theorem to find the length of the missing side of the right triangle. Then find the value of each of the six trigonometric functions of 0. A b=30 B a = 16 C

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.3: Right Triangle Trigonometry
Problem 1ECP: Use the triangle below to find the values of the six trigonometric functions of .
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The length of the missing side of the right triangle is.
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Find the sine of the angle 0.
sin 0=
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Find the cosine of the angle 0.
cos (=
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Find the tangent of the angle 0.
tan 8 =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Find the cosecant of the angle 0.
csc 8=
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Find the secant of the angle 0.
sec 0 =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Find the cotangent of the angle 0.
cot 0 =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Transcribed Image Text:The length of the missing side of the right triangle is. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) Find the sine of the angle 0. sin 0= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) Find the cosine of the angle 0. cos (= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) Find the tangent of the angle 0. tan 8 = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) Find the cosecant of the angle 0. csc 8= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) Find the secant of the angle 0. sec 0 = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) Find the cotangent of the angle 0. cot 0 = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Use the Pythagorean Theorem to find the length of the missing side of the
right triangle. Then find the value of each of the six trigonometric functions
of 0.
A
B
4
Ө
b=30
a = 16
C
Transcribed Image Text:Use the Pythagorean Theorem to find the length of the missing side of the right triangle. Then find the value of each of the six trigonometric functions of 0. A B 4 Ө b=30 a = 16 C
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