SOLUTION: Find the exact value of the trigonometric function given that sin u = 12/13 and cos v = -4/5. (Both u and v are in Quadrant II.)
cos(u − v)
Algebra.Com
Question 675342: Find the exact value of the trigonometric function given that sin u = 12/13 and cos v = -4/5. (Both u and v are in Quadrant II.)
cos(u − v)
Found 2 solutions by sachi, lynnlo:
Answer by sachi(548) (Show Source): You can put this solution on YOUR website!
Both u and v are in Quadrant II
sin u = 12/13 ,so cos u=sqrt((1-(12/13)^2)=-5/13
and cos v = -4/5. so sin v=sqrt((1-(-4/5)^2)=3/5
so cos(u − v)=cos u cos v+sin u sin v=-5/13*-4/5+12/13*3/5=(20+36)/65=56/65
ans
Answer by lynnlo(4176) (Show Source): You can put this solution on YOUR website!
if u and v are in the 4th. quadrant
y=-12,and r=13
sin v=y/r=7/25
cosv=x/r=25/25
tanv=y/x=7/24
RELATED QUESTIONS
Find the exact value of the trigonometric function given that sin u = -12/13 and cos v =... (answered by MathLover1,MathTherapy)
Find the exact value of the trigonometric function given that sin(u) = 12/13 and cos(v) = (answered by Fombitz)
Find the exact value of the trigonometric function given that sin u = 5/13 and cos v =... (answered by ikleyn,MathTherapy)
Find the exact value of sin(u+v) given that sin u=-12/13 and cos v=-4/5. Both u and v are (answered by lwsshak3)
Find the exact value of the trigonometric function given that sin u =5/13 and cos v= -3/5 (answered by ikleyn)
Find the exact value of the trigonometric function given that sin u = 5/13 and cos v =... (answered by ikleyn,Edwin McCravy,MathTherapy)
What is the exact value of the trigonometric function given that sin u= 5/13 and cos v=... (answered by ikleyn)
Find the exact value of the trigonometric function given that
sin u = −5/13 and... (answered by solver91311)
Find the exact value of the trigonometric function below given that sin u = -7/25 and cos (answered by solver91311,Tatiana_Stebko,MathTherapy)