Find the exact value of the expressions cos(a +ß), sin(x + ß) and tan(a + ß) under the following conditions: sin(x) = 4 15 5' a lies in quadrant I, and sin(B)=77. B lies in quadrant II. a. cos(a + B)= (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) b. sin(a + B) = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) c. tan(a + B) = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
Find the exact value of the expressions cos(a +ß), sin(x + ß) and tan(a + ß) under the following conditions: sin(x) = 4 15 5' a lies in quadrant I, and sin(B)=77. B lies in quadrant II. a. cos(a + B)= (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) b. sin(a + B) = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) c. tan(a + B) = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
![Find the exact value of the expressions cos(a +ß), sin(x + ß) and tan(a + ß) under the following conditions:
sin(x) =
4
15
5'
a lies in quadrant I, and sin(B) = 17 B lies in quadrant II.
a. cos(a + B)=
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
b. sin(a + B) =
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
c. tan(a + B) =
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac0a4404-31ea-43b7-9f8f-0ab6cbf2fce4%2F1c656341-d914-44f8-ad32-dd7c3848f0fd%2Fvd28u9k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the exact value of the expressions cos(a +ß), sin(x + ß) and tan(a + ß) under the following conditions:
sin(x) =
4
15
5'
a lies in quadrant I, and sin(B) = 17 B lies in quadrant II.
a. cos(a + B)=
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
b. sin(a + B) =
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
c. tan(a + B) =
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
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Step 1: Introduce to the given information
VIEWStep 2: Determining cos(alpha) using Pythagorean identity
VIEWStep 3: Determining cos(beta) using Pythagorean identity
VIEWStep 4: (a) Determining cos(alpha+beta)
VIEWStep 5: (b) Determining sin(alpha+beta)
VIEWStep 6: (c) Determining tan(alpha+beta)
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