Find dy/dx when y = √((1 + cosx)/( 1 - cosx))

LCoelho asked Apr 9, 2023

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17 votes

Find dy/dx when y =

√((1 + cosx)/( 1 - cosx))

LCoelho asked Apr 9, 2023

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28 votes

Answer:

cos(x)

Explanation:

(1 + cos(x))(1 - cos(x)) = 1 - cos²(x) = sin²(x)

sqrt(sin²(x)) = sin(x)

sin'(x) = cos(x)

Marchelle answered Apr 15, 2023

3.1k points

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