Quote: "gh sorry... I gotta learn more"
Sorry, but for this type of problem there are TONS of ways you can calculate it. If you don't have a handheld calculator, you'll probably want to use
wolfram alpha
If you input this to wolframalpha: Sin(50 Degrees)*(1+Sqrt(3)*Tan(10 Degrees))
it tells you the value is one. If you input this to wolfram alpha:
Sin(90 Degrees + 10 Degrees)
it tells you the answer is:
0.984807753012208059366743024589523013670643251719842418790025752355827599943036239274678410056119899160...
so you're "equality" is incorrect.
Note the "Degrees" is necessary. Usually the sine function works with something called radians, so you need to tell mathematica you're working with degrees. If you don't understand why, say you have a function, call it grav(height), and this function of height returns the time it takes for the object dropped from height to reach the ground.
Obviously then, grav(1 Meter)=grav(100 Cm)=grav(.001 Km), BUT grav(1)≠grav(100)≠grav(.001). In the same way, sin(Pi Radian)=sin(180 Degree), but sin(Pi)≠sin(180).
If you just typed in Sin(90+10), you'd get the wrong answer!
