Question

if x= a sec theta y = a tan theta show that x square - y square = a square

Answer 1

Step-by-step explanation:

$\: \: \: \: \: {x}^{2} - {y}^{2} \\ = {a}^{2} \sec {}^{2} ( \theta) - {a}^{2} \tan {}^{2} ( \theta) \\ = {a}^{2} ( \sec {}^{2} ( \theta) - \tan {}^{2} ( \theta) ) \\ = {a}^{2}$