# Simplify using the trigonometric identities

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simply Cos(2x)csc(2x)- cos(2x) using trigonometry identities.

Â© BrainMass Inc. brainmass.com October 2, 2022, 5:39 am ad1c9bdddfhttps://brainmass.com/math/trigonometry/simplify-trigonometric-identities-36510

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Here the question is simply Cos(2x)csc(2x)- cos(2x) using trigonometry identities.

We know that Csc(x)= 1/ sin(x) , since Csc(2x)= 1/ sin(2x) , Now plug this into the given expression.

Step :1

So, Cos(2x)csc(2x)- cos(2x) = cos(2x) (1/sin(2x) ) - cos(2x)

Step:2 = cos(2x)

______ - cos(2x) [ cos(x)/ sin(x) = cot(x) ]

sin(2x)

= cot(2x) - cos(2x)

We cannot simplify this further , If we simplify this further again we will get the given expression.

So, Cos(2x)csc(2x) - cos(2x)= cot(2x) - cos (2x)

Â© BrainMass Inc. brainmass.com October 2, 2022, 5:39 am ad1c9bdddf>https://brainmass.com/math/trigonometry/simplify-trigonometric-identities-36510