2.5.7 Plotting Function

Condition: Given the function \ (r = f (\ varphi) \) on the segment \ (0 \ leq \ varphi \ leq 2 \ pi \). 1) to build a function of the function in the polar coordinate system by points, giving \ (\ varphi \) the values through the gap \ (\ pi / 8 \), starting from \ (\ varphi = 0 \): find the equation of the resulting line in the rectangular decartion system of which coincides with the pole, and positively the abscississississississis - with the polar axis, and by the equation to determine what the line it will be. \ [r = \ frac {10} {\ cos \ varphi} \]