Transformed argument solving

1 Solve the equation \(3 \tan \left( 2 x + 15 ^ { \circ } \right) = 4\) for \(0 ^ { \circ } \leqslant x \leqslant 180 ^ { \circ }\).

4. Solve, for \(0 \leqslant x < 180 ^ { \circ }\), $$\cos \left( 3 x - 10 ^ { \circ } \right) = - 0.4$$ giving your answers to 1 decimal place. You should show each step in your working.

1 State the number of solutions to the equation \(\tan 4 \theta = 1\) for \(0 ^ { \circ } < \theta < 180 ^ { \circ }\) Circle your answer. 1288