lawrencedaviid lawrencedaviid

09-06-2020
Mathematics

contestada

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

Respuesta :

surjithayer10 surjithayer10

09-06-2020

Answer:

Step-by-step explanation:

tan x-cot x

[tex]=\frac{sin~x}{cos~x} -\frac{cos~x}{sin ~x} \\=\frac{sin^2x-cos^2 x}{sin ~x~cos~x} \\=\frac{-2(cos^2x-sin^2x)}{2 sin ~x~cos~x} \\=\frac{-2 cos~2x}{sin~2x} \\=-2 cos ~2x~cosec~2x[/tex]

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