Question

Why is the answer negative?

Answer 1

Explanation:

`cos \: x = (3)/(5) = (x)/(y) \\ \implies \: x = 3 \: \: and \: \: r = 5 \\ \because \: {y} = \pm\sqrt{ {r}^(2) - {x}^(2) } \\ = \pm\sqrt{ {5}^(2) - {3}^(2) } \\ = \pm√(25 - 9) \\ = \pm √(16) \\ \therefore \: y = \pm4 \\ \because \: x \: lies \: in \: {4}^(th) \: quadrant \\ \therefore \: y = - 4 \\ \\ \because \: sin \: x = (y)/(r) \\ \\ \huge \red{ \boxed{ \therefore \: sin \: x = ( - 4)/(5)}} \\ \\ \because \: tan \: x = (y)/(x) \\ \\ \huge \purple{ \boxed{\therefore \: tan \: x = ( - 4)/(3) }}`