Given that cos x frac 12 13 evaluate frac 1 - t... - WAEC Mathematics 2014 Question

cos x(\frac{12}{13})

13² = 12² + a²

169 = 144 + a²

a² = 169 - 144

a² = 25

a (\sqrt{25})

a = 5

tan x = (\frac{5}{12})

(\frac{1 - \tan x}{\tan x} = \frac{1 - \frac{5}{12}}{\frac{5}{12}})

(\frac{\frac{1 - \frac{5}{12}}{12 - 5}}{12} = \frac{\frac{7}{12}}{\frac{5}{12}})

= (\frac{7}{2} \div \frac{5}{12})

= (\frac{7}{12} \times \frac{12}{5} = \frac{7}{5})