1.1. Use a small angle approximation to estimate the positive solution to the equation

cot $2 \theta -5$ cos $\theta =00< \theta <1$

Give your answer to six decimal places.

1.2. Solve the equation cot $2 \theta -5$ cos $\theta =0,0< \theta <1$.
Give your answer to six decimal places.

1.3.  Find the percentage error, to two significant figures, in the approximation from part (a) compared to your answer in part (b).