SOLUTION: Verify the identity. Justify each step. cot [theta - x/2] =

SOLUTION: Verify the identity. Justify each step. cot [theta - x/2] = - tan theta

Question 627975: Verify the identity. Justify each step.
cot [theta - x/2] = - tan theta
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
I must assume that the "x/2" is supposed to be . If what you posted is correct then I see no way to solve this.

Probably the quickest way to solve this is based on recognizing that . Substituting this in we have:

Next we use the odd/even property for cot, cot(-x) = - cot(x), which allows us to "move" the negative out of the argument:

Next we use another identity:
And we're finished!

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