Question

Select the expression below that is identical to this equation: (I'll post it with the equation maker thingy :3)

Answer 1

\[\tan (-\theta)\tan (\frac{ \pi }{ 2 }-\theta)\]

Answer 2

The options to chose from are as follows:

A.) 1
B.) \[\cot ^{2}\theta \]
C.)\[\tan ^{2}\theta \]
D.)0
E.) -1

Answer 3

I don't understand how to simplify the original equation enough to get an answer.
I know pi/2 = 90 degrees, but I'm not sure how that fits into the whole scheme of things.

Answer 4

okay so one of my identities is tan(pi/2 -x)=cot x so now i have

\[\tan (-\theta) \cot \theta\]

Answer 5

cot is just the reciprocal of tan and since tan has a negative theta and cot a positive theta then they'll all cancel out cause they equal each other. equaling 1! :D

Answer 6

no wait, because tan(- theta) equals cot theta it should be negative one right?