SOLUTION: Simplify (sin^2x-tan^2x)/(tan^2xsin^2x)
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Question 1009299
:
Simplify
(sin^2x-tan^2x)/(tan^2xsin^2x)
Answer by
fractalier(6550)
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(sin^2x-tan^2x)/(tan^2xsin^2x) =
(sin^2x/(tan^2xsin^2x)) - (tan^2x)/(tan^2xsin^2x)) =
1/tan^2x - 1/sin^2x =
cos^2x/sin^2x - 1/sin^2x =
(cos^2x - 1)/sin^2x =
-sin^2x / sin^2x =
-1