Solving trigonometric equations involving multiple angles

Lessons

• 1.
  Solve the following equations
  i) State the general solution
  ii) $0 \leq x \leq 2\pi$
  a)

  $\sin 3x = - {1 \over 2}$
  
  
  b)

  $\cos 2x = {\sqrt2 \over 2}$
  
  
  c)

  $\tan {x \over 2} = -1$
  
  
  d)

  $3\sin^2 2x -7 \sin 2x = 1 - 5 \sin 2x$
  
  

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• 2.
  Solve: $\sin 2x - \cos 2x = 0$

  $-180^\circ \leq x \leq 180^\circ$

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