Well if the equation doesn't hold true for all values of , then it's not an identity.
It's true for all .
Hello all, I have done a question but I just need clarification if it is correct:
Cot (x/2) = (1 + cos(x)) / sin(x)
what is the largest set of values of x for which this identity is valid?
i reasoned here that because they are equal to one another that either function can be used to solve for a value. this meant that for the identity to be invalid both functions would have to have a sin value of 0. this only happens at 2 * n * pi where n is any integer.
Am I correct?
gah, I suck
Just a quick question though, since cot (x/2) = cos (x/2) / sin (x/2) how come you didnt use sin (x/2) as a restriction since it cannot ever be equal to zero?\
thanks in advance