Question

In the following ,one of the trigonometric ratios is given . Find what values of all other trigonometric ratios
2)Sin O=√3/2​

Answer 1

$\sin(x) = \frac{p }{h} \\p = \sqrt{3},h = 2 \\ {b}^{2} = {h}^{2} - {p}^{2} \\ b = \sqrt{ {( \sqrt{3}) }^{2} - {2}^{2} } \\ b = 1 \\ \cos(x ) = \frac{b}{h} = \frac{1}{2} \\ \sec(x) = 2 \\ \tan(x) = \frac{p}{b} = \sqrt{3} \\ \cot(x) = \frac{1}{ \sqrt{3} } \\ \csc( x ) = \frac{2}{ \sqrt{3} }$