SOLUTION: I am trying to isolate b2 to substitute into another equation. I can not find the right trig identity to isolate b2. Can someone please help to isolate b2? Equation: (a1)co

Algebra ->  Trigonometry-basics -> SOLUTION: I am trying to isolate b2 to substitute into another equation. I can not find the right trig identity to isolate b2. Can someone please help to isolate b2? Equation: (a1)co      Log On


   

Question 682055: I am trying to isolate b2 to substitute into another equation. I can not find the right trig identity to isolate b2. Can someone please help to isolate b2?
Equation:
(a1)cos(b1) + (a2)cos(b1+b2) = p
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
(a1)cos(b1) + (a2)cos(b1+b2) = p

(a2)cos(b1+b2) = p - (a1)cos(b1)

cos(b1+b2) = [ p - (a1)cos(b1) ]/(a2)

b1+b2 = arccos{ [ p - (a1)cos(b1) ]/(a2) }

b2 = arccos{ [ p - (a1)cos(b1) ]/(a2) } - b1