How can I calculate the trigonometric values of this triangle if I don't have the angle values?

Sin J = 3/5, cos J = 4/5, tan J = 3/4

Sin L = 4/5, cos L = 3/5, tan L = 4/3...Show more

You only need 2 values to calculate all the other missing values. You have 3 values. The sides a=12,b=16,c=20

from corner L
cos(L) = a/c
sin(L) = b/c
tan(L) = sin(L)/cos(L) = b/a

from corner J
cos(J) = b/c
sin(J) = a/c
tan(J) = sin(J)/cos(J) = a/b


cos(L) = sin(J) = 12/20
sin(L) = cos(J) = 16/20
tan(L) = cot(J) = 16/12
tan(J) = cot(L) = 12/20

Not needed for the problem but:
L = arccos(12/20) = arcsin(16/20) = 53.1
J = arccos(16/20) = arcsin(12/20) = 36.9 

L + J = 90...Show more