buktikanlah identitas trigonometri berikut

(tanx+cotx)/(tanx-cotx)
= (sinx/cosx + cosx/sinx)/(sinx/cosx - cosx/sinx)
= ((sin²x+cos²x)/sinxcosx) / ((sin²x-cos²x)/sinxcosx)
= (1/sinxcosx) / ((sin²x-cos²x)/sinxcosx)
= 1/(sin²x-cos²x)
= 1/(sin²x-(1-sin²x))
=1/(2sin²x-1)