text: # Homework Help: Component Identities
  
  1. Oct 4, 2005
  
  ### brandon26
  
  Solve for x
  
  3sin(x+10)=4cos(x-10)
  
  I tried changinf everything into tan nothing out. I tried expaning the brackets and collecting like terms, that didnt work out either.
  
  2. Oct 4, 2005
  
  ### Astronuc
  
  Staff Emeritus
  3. Oct 4, 2005
  
  ### brandon26
  
  Yeh, but I cant simplify anything to solve the problem
  
  4. Oct 4, 2005
  
  ### Astronuc
  
  Staff Emeritus
  Well expand the sin and cos and apply cos (-x) = cos x, and sin (-x) = -sin x.
  
  Then collect terms/coefficients of cos x and sin x.
  
  If one has a form A cos x = B sin x, the tan x = A/B and x = tan-1 (A/B). In this problem A and B have terms of sin 10 and cos 10.