I have a trigonometric identity where I must solve for theta2 (theta2) but I'm tearing my hair out because I don't know to approach it. Could someone please assist me?
There are four variables:
x
L1
theta1
theta2
Each of the four variables are any number greater than or equal to zero and the angles theta1 and theta2 can only be between 0 and pi (or 0 and 180 degrees)
And I must solve for theta2. Please assume that I'm working in radians and not in degrees. Here's the equation.
xsine(theta2) = L1sine(theta2 - theta1)
So in this equation, there are two sine functions and each function has a coefficient. On the right side of the identity, two angles are subtracted from one another, the result of that number is put into sine, and then multiplied by L1, which, as stated, is a variable. The left is self-explanatory.
I have a second equation that is very similar and will most likely end up employing similar techniques. This one uses L2 instead of L1 as a variable but the same rules from the previous variables apply.
(sine (theta2 - theta1))/ x = sine theta1 / L2
I'm the kind of guy that likes to know the "why" in answers so any detail at all would be greatly appreciated. If the process is complicated however, I'd be fine with just an answer to the problems. I understand that these may possibly be difficult so I'll try to help but I really don't know that much trig. Thank you for your replies in advance!