simplify:
tan x/(secx-1)

Question

simplify:
tan x/(secx-1)

anonymous · Answer

Multiply by $\dfrac{\sec x+1}{\sec x+1}$ and try reducing that.

anonymous · Answer

I basically just get the opposite: secx+1/tanx

anonymous · Answer

Well, the instructions are kinda vague. Did you learn any half-angle identities recently? This might be an application of that.

anonymous · Answer

We haven't learned those - this is part of a summer review packet and it doesn't say at all how she wants us to do it. Normally it's just using trig identities

loser66 · Answer

that's good, from then, you have sec / tan + 1/tan = 1/sin + cot = csc + cot

anonymous · Answer

oh ok what @Loser66 makes sense. Thanks!

loser66 · Answer

yw

anonymous · Answer

It's also equal to $\tan\left(\dfrac{x}{2}\right)$, but again, not sure if that's what the packet's looking for as an answer.

anonymous · Answer

Thanks, but I think that the cscx+cotx was more what it was looking for