if 4(sinx/cosx) = 5(cosx/sinx) write down possible values of cot x?

Question

please help im confused

Answer 1

sine/kosine=tangent

kosine/sine="kotangent"=1/tangent

so yu hav 4 tan(x)=5 kot(x)

thus, kot(x)=(4/5)*tan(x)

but, tan(x)=1/kot(x)

so yu hav kot^2(x)=4/5=0.8

kot(x)=root(0.8)=0.894427191

but then tan(x)=1/0.894427...=1.118033989

x=48.189685 deg