If cot theta frac 8 15 where theta is acute fin... - JAMB Mathematics 2010 Question

cot(\theta) = (\frac{1}{\cos \theta})

= (\frac{8}{15})(given)

tan(\theta) = (\frac{15}{18})

By Pythagoras theorem,

x² = 15² + 8²

x² = 225 + 64 = 289

x = (\sqrt{289})

= 17

Hence sin(\theta) = (\frac{15}{x})

= (\frac{15}{17})