Question 4 - A-Level Maths

By using a suitable trigonometrical identity, solve the equation $$\tan ^ { 2 } \theta = 3 ( 3 - \sec \theta )$$ giving all solutions to the nearest $0.1 ^ { \circ }$ in the interval $0 ^ { \circ } < \theta < 360 ^ { \circ }$.
Hence solve the equation $$\tan ^ { 2 } \left( 4 x - 10 ^ { \circ } \right) = 3 \left[ 3 - \sec \left( 4 x - 10 ^ { \circ } \right) \right]$$ giving all solutions to the nearest $0.1 ^ { \circ }$ in the interval $0 ^ { \circ } < x < 90 ^ { \circ }$.