How do you know if to divide or multiply in soh cah toa problem for example Sin30=x/5?

1 Answer
Aug 24, 2015

#x = 5sin30#

Explanation:

Perhaps I don't understand your question, but I think there isn't any need for sohcahtoa in this equation.

If you need to solve for x, remember that #sin30# is simply a number. So solving this is like solving #9 = x/2#. Multiply both sides by the denominator (or cross multiply if you want to think of it that way).

#sin30 = x/5#

#x/5 = sin30#

#5(x/5) = 5sin30#

#x = 5sin30#

If this is supposed to be #sin 30^@#, thne use #sin30^@ = 1/2#, so we are solving:

#1/2 = x/5# so #x = 5/2#

(If it's really #sin30#, then we'll need some way to approximate #sin30#.