Solve tan x - cot x = -2cos 2x cosec 2x

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asked Jun 8, 2021 19.4k views

2 votes

Solve tan x - cot x = -2cos 2x cosec 2x

Mathematics
high-school

Corbin March asked

by Corbin March

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7 votes

Answer:

Explanation:

tan x-cot x

$=(sin~x)/(cos~x) -(cos~x)/(sin ~x) \\=(sin^2x-cos^2 x)/(sin ~x~cos~x) \\=(-2(cos^2x-sin^2x))/(2 sin ~x~cos~x) \\=(-2 cos~2x)/(sin~2x) \\=-2 cos ~2x~cosec~2x$

Shida answered Jun 15, 2021

by Shida

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