Find the exact value of each of the following under the given conditions. 5 a lies in quadrant II, and cos ẞ = ẞ lies in quadrant | 3 tan ( = - a. sin (a + ẞ) b. cos (a+ẞ) c. tan (a+ẞ) a. sin (a + B) = ☐ (Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use integers or fractions for any numbers in the expression.) b. cos (a + B) = (Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use integers or fractions for any numbers in the expression.) c. tan (α + B) = (Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use integers or fractions for any numbers in the expression.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 65E
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Find the exact value of each of the following under the given conditions.
3
4'
5
tan α= -4, a lies in quadrant II, and cos ẞ= 6 ẞ lies in quadrant I
a. sin (a+ẞ)
b. cos (a+ẞ)
c. tan (α+ ẞ)
a. sin (a + B) =
(Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use integers or fractions for any numbers in the expression.)
b. cos (a + B) = ☐
(Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use integers or fractions for any numbers in the expression.)
c. tan (α + B) =
(Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use integers or fractions for any numbers in the expression.)
Transcribed Image Text:Find the exact value of each of the following under the given conditions. 3 4' 5 tan α= -4, a lies in quadrant II, and cos ẞ= 6 ẞ lies in quadrant I a. sin (a+ẞ) b. cos (a+ẞ) c. tan (α+ ẞ) a. sin (a + B) = (Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use integers or fractions for any numbers in the expression.) b. cos (a + B) = ☐ (Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use integers or fractions for any numbers in the expression.) c. tan (α + B) = (Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use integers or fractions for any numbers in the expression.)
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