How do i solve sinxcotx-cos^2x=0 and find the principal values and all values? ?

As long as , we have

From here, you can pull out one factor of :

Then either or .

In the first case, whenever , or every odd multiple of . We denote this by for ( is any integer).

In the second case, whenever , or every even multiple of . We write this as for .

I'm not sure what you mean by "principal values", but I'd guess it refers to any solutions to the equation for . In that case, you'd have only 3 solutions, .

However, we have to throw out the solution , because that makes the left hand side of the original equation undefined. So the general solution is actually for and for (all non-zero integers).

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step-by-step explanation:

after simplifying it i got: -36.25 as my answer. hope that !