Demuestre el resultado de la identidad trigonometrica con procedimientos
in Trigonometry Answers by Level 1 User (120 points)

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1 Answer

(tan x + cot x)^2 -csc^2x

=tan^2x+2tanxcotx+cot^2x-csc^2x

=sin^2x/cos^2x + 2 + cos^2x/sin^2x - 1/sin^2x

=sin^2x/cos^2x + 2 +(cos^2x- 1)/sin^2x

=sin^2x/cos^2x + 2 +(-sin^2x)/sin^2x

=sin^2x/cos^2x + 2 -1

=sin^2x/cos^2x + 1

=(sin^2x+cos^2x )/cos^2x

=1/cos^2x

=sec^2x
by Level 6 User (24.9k points)

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