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1 Answer

cos³x.csc³x = 4cot²x

cos³x.(1/sin³x) = 4cot²x

cot³x = 4cot²x

cot³x - 4cot²x = 0

cot²x(cotx - 4) = 0

Roots then are: cotx = 0, cotx = 4, i.e.

x = pi/2, x = atan(1/4)

For solutions in the range [0..360],

Answer: x = pi/2, x = 3pi/2, x = atan(1/4), x = atan(1/4) + pi

by Level 11 User (81.5k points)

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