0 Pretend that is theta XD
cot 0 = [tex]\frac{1}{tan0}[/tex]
Find tan 0.
tan 0 = [tex]\frac{y}{x}[/tex]
tan 0 = [tex]\frac{-3\sqrt{5}}{-6}[/tex]
tan 0 = [tex]\frac{\sqrt{5}}{2}[/tex]
cot 0 = [tex]\frac{1}{tan0}[/tex]
cot 0 = [tex]\frac{1}{\frac{\sqrt{5} }{2} }[/tex]
Multiply 2/√5 to the numerator and the denominator (or multiply the reciprocal of the denominator to the top and bottom of the fraction)
cot 0 = [tex]\frac{1}{\frac{\sqrt{5}}{2} } (\frac{\frac{2}{\sqrt{5}} }{\frac{2}{\sqrt{5}}} )[/tex]
cot 0 = [tex]\frac{2}{\sqrt{5}}[/tex]
Multiply √5 to the numerator and the denominator
cot 0 = [tex]\frac{2}{\sqrt{5}} (\frac{\sqrt{5} }{\sqrt{5} })[/tex]
cot 0 = [tex]\frac{2\sqrt{5}}{5}[/tex]
