Question

Find all the angles between \(0^\circ\) and \(180^\circ\) which satisfy the equations

  1. \(\tan (x + 60^\circ) = 1\),
  2. \(8 \sin y + 3 \sec y = 0\),
  3. \(3 \sin^2 z - 8 \sin z \cos z - 3 \cos^2 z = 0\).