What is cot(arccsc(2x)) ?

The solution to cot(arccsc(2x)) is sqrt(4x^2-1)

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simplify cot(arccsc(2x))

simplify

cot (arccsc (2 x))

4 x^{2} - 1

Solution steps

cot (arccsc (2 x))

Use the following identity:

cot (arccsc (x)) = x^{2} - 1

= (2 x)^{2} - 1

Simplify

= 4 x^{2} - 1

sin (6 0^{\circ} - b)

tan ([arcsec (3 x)])

- 2 sin (x - \frac{π}{4}) + 1

cos (θ^{1} + θ^{2})

4 sin (4 5^{\circ} + x) + 3