Question

Another one about verifying the identity! Please help

Answer 1

@dtuniyants you were very helpful, I'd appreciate it if you could help me with one more!

Answer 2

of course, just a sec, I nedd to solve it

Answer 3

When simplified it looks like this:
\[1/(\tan(x-\pi/2))=-\tan(x)\]

Answer 4

the absolute values of -tan(x) and tan(x-pi/2) have to be equal 1.

Answer 5

How did you go about changing cot to tan? :/

Answer 6

|tan(x)| can only be equal 1, when x=pi/4, 3pi/4, 5pi/4, and 7pi/4. All of these can be answers to the equation. Since there are no restrictions in range of function cot(x), all of these can be answers

Answer 7

cot=1/tanx

Answer 8

Since every quadrant the sign of tan(x) changes they all are answers to the equation