Find the exact value of each of the following under the given conditions. sin a = 41' .0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 28T
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Find the exact value of each of the following under the given conditions.
4/65
0 < a<5;
41
; cos B =
65
<B<0
sin a =
(a) sin (a + B)
(b) cos (a + B)
(c) sin (a - B)
(d) tan (a - B)
(a) sin (a + B) =
(Type an exact answer using radicals as needed. Rationalize all denominators. Use integers or fractions for any
numbers in the expression. Simplify your answer.)
(b) cos (a + B) =
(Type an exact answer using radicals as needed. Rationalize all denominators. Use integers or fractions for any
numbers in the expression. Simplify your answer.)
(c) sin (a - B) =
(Type an exact answer using radicals as needed. Rationalize all denominators. Use integers or fractions for any
numbers in the expression. Simplify your answer.)
(d) tan (a - B) =
(Type an exact answer using radicals as needed. Rationalize all denominators. Use integers or fractions for any
numbers in the expression. Simplify your answer.)
Transcribed Image Text:Find the exact value of each of the following under the given conditions. 4/65 0 < a<5; 41 ; cos B = 65 <B<0 sin a = (a) sin (a + B) (b) cos (a + B) (c) sin (a - B) (d) tan (a - B) (a) sin (a + B) = (Type an exact answer using radicals as needed. Rationalize all denominators. Use integers or fractions for any numbers in the expression. Simplify your answer.) (b) cos (a + B) = (Type an exact answer using radicals as needed. Rationalize all denominators. Use integers or fractions for any numbers in the expression. Simplify your answer.) (c) sin (a - B) = (Type an exact answer using radicals as needed. Rationalize all denominators. Use integers or fractions for any numbers in the expression. Simplify your answer.) (d) tan (a - B) = (Type an exact answer using radicals as needed. Rationalize all denominators. Use integers or fractions for any numbers in the expression. Simplify your answer.)
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