Suppose that A and B are angles in standard position. Use the given information to find (a) sin (A + B). (b) sin (A - B). (c) tan (A + B). (d) tan (A-B). (e) the quadrant of A + B, and (f) the quadrant of A-B. 8 - cos A = 17 and sin B = 3π -

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°.
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Suppose that A and B are angles in standard position. Use the given information to find (a) sin (A + B). (b) sin (A - B). (c) tan (A + B), (d)
tan (A -B), (e) the quadrant of A + B, and (f) the quadrant of A - B.
8
cos A = and sin B-
17
12 Зл
13' 2 <A<2₁
Зл
2
<B<2*
(a) sin (A + B)=
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
(b) sin (A - B) =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
(c) tan (A + B) =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
(d) tan (A -B) =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Transcribed Image Text:Suppose that A and B are angles in standard position. Use the given information to find (a) sin (A + B). (b) sin (A - B). (c) tan (A + B), (d) tan (A -B), (e) the quadrant of A + B, and (f) the quadrant of A - B. 8 cos A = and sin B- 17 12 Зл 13' 2 <A<2₁ Зл 2 <B<2* (a) sin (A + B)= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) (b) sin (A - B) = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) (c) tan (A + B) = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) (d) tan (A -B) = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
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