f Px) and Pn) are points in quadrant Il on the terminal side of the angles x, and xy, respectively, with cos(x;) = - and sintx) - find sin(x, + x). cos(x, + xa). sin( - xy), and cos(x - x). (Enter your answer in exact form.) (a) sin(x, + ) (b) cos(x + ) (<) sin(x - ) (a) cos(x-x)

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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If \( P(x_1) \) and \( P(x_2) \) are points in quadrant II on the terminal side of the angles \( x_1 \) and \( x_2 \), respectively, with \(\cos(x_1) = -\frac{1}{5}\) and \(\sin(x_2) = \frac{2}{5}\), find \(\sin(x_1 + x_2)\), \(\cos(x_1 + x_2)\), \(\sin(x_1 - x_2)\), and \(\cos(x_1 - x_2)\). (Enter your answer in exact form.)

(a) \(\sin(x_1 + x_2)\)  
\[ \boxed{}\]

(b) \(\cos(x_1 + x_2)\)  
\[ \boxed{}\]

(c) \(\sin(x_1 - x_2)\)  
\[ \boxed{}\]

(d) \(\cos(x_1 - x_2)\)  
\[ \boxed{}\]
Transcribed Image Text:If \( P(x_1) \) and \( P(x_2) \) are points in quadrant II on the terminal side of the angles \( x_1 \) and \( x_2 \), respectively, with \(\cos(x_1) = -\frac{1}{5}\) and \(\sin(x_2) = \frac{2}{5}\), find \(\sin(x_1 + x_2)\), \(\cos(x_1 + x_2)\), \(\sin(x_1 - x_2)\), and \(\cos(x_1 - x_2)\). (Enter your answer in exact form.) (a) \(\sin(x_1 + x_2)\) \[ \boxed{}\] (b) \(\cos(x_1 + x_2)\) \[ \boxed{}\] (c) \(\sin(x_1 - x_2)\) \[ \boxed{}\] (d) \(\cos(x_1 - x_2)\) \[ \boxed{}\]
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