SOLUTION: verify the trigonometric identity. (sinx)(secx-cscx)-tanx= -1

Question 313671: verify the trigonometric identity.
(sinx)(secx-cscx)-tanx= -1
Answer by texttutoring(324) (Show Source): You can put this solution on YOUR website!
Define everything by its definition. secx=1/cosx, cscx = 1/sinx, and tanx =sinx/cosx

(sinx)(secx-cscx)-tanx= -1
(sinx)(1/cosx - 1/sinx) -sinx/cosx = -1
sinx/cosx -sinx/sinx -sinx/cosx = -1
sinx/cosx -1 -sinx/cosx = -1

Note: sinx/cosx -sinx/cosx =0

Therefore,
-1 = -1
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