What is the answer to 7 sin x divided by cosxsquared minus 6 cos x divided by sin xsquared equals 0?

Answer 1

(7sin(x))/(cos2(x)-6cos(x))/(sin2(x))=0

(7sin3(x))/(cos2(x)-6cos(x))=0

7sin3(x)=0

sin(x)=0

x=arcsin(0)

x=(pi)(n)

where n is any whole number

We only set the top part of the function equal to zero because we know that if the bottom function equals zero then the answer is undefined. Therefore the top function is the only one that will produce a value of zero.