Question

Determine the number of possible solutions if A=62degrees, a=4, and b=6

Answer 1

use law of sines to find angle B

Answer 2

would you be able to please walk me through that?

Answer 3

wait hold on

Answer 4

\[\frac{sinB}{6} = \frac{\sin 62}{4}\]

Answer 5

ok and then 1.613/25 for C and c

Answer 6

you will get 2 possible answers for B

Answer 7

but how does that determine the # of possible solutions?

Answer 8

since you can have 2 answers for B, that leads to 2 answers for c and C as well
hence 2 possible triangles

Answer 9

whenever you take the inverse sin to solve you get 2 solutions
this comes from unit circle