Question

if "a" and "b" are acute angles with {sin a = 12/13} and {sin b= 8/17}, what is the value of tan (a +b)?

Answer 1

tan(a+b) = (tan a + tan b)/ (1-tan(a)tan(b))

sin = opp/hyp
find adjacent side using pythagorean thm
13^2 - 12^2 = 5^2
17^2 - 8^2 = 15^2

tan = opp/adj
tan a = 12/5
tan b = 8/15

sub into formula for tan(a+b)

Answer 2

ok ty i got it now.

Answer 3

yw :)