SOLUTION: Find cos(A+B) given angle A is in quadrant 1, angle B is in quadrant 2, and sinA=5/13 and cosB= -3/5

Algebra.Com
Question 934488: Find cos(A+B) given angle A is in quadrant 1, angle B is in quadrant 2, and sinA=5/13 and cosB= -3/5
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Find cos(A+B) given angle A is in quadrant 1, angle B is in quadrant 2, and sinA=5/13 and cosB= -3/5
***
sinA=5/13
cosA=12/13
..
cosB=-3/5
sinB=4/5
..
cos(A+B)=cosAcosB-sinAsinB=12/13*(-3/5)-5/13*4/5=-36/65-20/65=-56/65

RELATED QUESTIONS

Given that sin A= -4/5 where A is in quadrant 3 and sin B= 12/13 where B is in quadrant... (answered by lwsshak3)
Given sinA:4/5, cosB=5/13 both A and B in quadrant I, find... (answered by lwsshak3)
Given that SinA = 3/5 and CosB = 5/13 where A and B are both in quadrant 1. Find... (answered by ikleyn)
Given: A lies in Quadrant III and B lies in Quadrant II, m1212. Find the exact value... (answered by lwsshak3,solver91311)
Given cosA=1/3,A is quadrant IV and cosB=-squareroot7/4: B is in quadrant II find... (answered by lwsshak3)
Hello I need help with given sinA= 4/5 cosB= 5/13 both A and B in quadrant I, find... (answered by mananth)
Given sinA=6/7 and cosB=-1/6, where Ais in quadrant II and B is in quadrant III, find... (answered by ikleyn)
Given that sin A = 5/13 and cos B =-3/5, A is in quadrant I and B is in quadrant II,... (answered by ikleyn)
Given that sin A = 5/13, cos B = -3/5, A is a quadrant I angle, and B is a quadrant II... (answered by ikleyn)