Find the indicated trig function of the given angle. Give exact answers with rational denominators

Question

find cot A when b=3 and c= 4

Answer 1

Draw and label a diagram

a = √7 Pythagoras (use it often!)

cot A = b / a

cot A = 3 / √7

cot A = 3√7 / 7

Answer 2

a/sinα=b/sinβ=c/sinγ

Is this a rt triangle?

cotα=1/cos

cosα=b/c

=3/4=.75

α=41.409°

cotα=cos/sin=.75°/.661=1.1338....°