SOLUTION: I've just started home schooling my nephew, and I've totally forgotten how to work with sin, cosine and tangent (haven't done this stuff since I was in 10th grade). The problem: So

Algebra ->  Trigonometry-basics -> SOLUTION: I've just started home schooling my nephew, and I've totally forgotten how to work with sin, cosine and tangent (haven't done this stuff since I was in 10th grade). The problem: So      Log On


   

Question 605751: I've just started home schooling my nephew, and I've totally forgotten how to work with sin, cosine and tangent (haven't done this stuff since I was in 10th grade). The problem: Solve to the nearest hundredth sin(x)/5=sin(40)/9
I simplified sin(40) then cross multiplied, which then looked like this:
3.21=9*sin(x); I isolated sin(x) by dividing both sides by 9, so this is where I ended up: 0.36=sin(x)
Am I even close to the right track?
Thank you
Tami Knorr
Found 2 solutions by scott8148, htmentor:
Answer by scott8148(6628) About Me  (Show Source):
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, that is correct so far. No you need to find the angle whose sin is 0.36 (actually you should keep a few more digits and then round the final answer)
sin(x) = 0.3571
x = arcsin(0.3571) = 20.92 deg.