How do you prove (Tan^2X/Sin^2X)-1 = Tan^2x?

1 Answer
Dean R.
Apr 23, 2018

Expand out the tangent on the left and work it out.

Explanation:

#frac{tan ^2 x }{sin ^2 x } -1#

# = { sin^2 x / cos^2 x} /{sin^2 x} -1 #

# = 1 / cos^2 x -1 #

# = {1 - cos ^2 x }/{cos ^2 x}#

# = frac{sin ^2 x}{cos^2 x}#

# = tan^2 x quad sqrt #

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