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## Answers

The Brainliest Answer!

Sec[4x] = 1/(2((2Cos²(x) - 1)² - 1)

Let z = Cos²(x)

Then we have:

1/(2(2z - 1)² - 1) - 1/(2z - 1) = 2

which eventually reduces to the quadratic equation:

16z² - 20z + 5 = 0

with solutions z = (1/8)(5 ± √5)

1/8 and 5+- root5 is solution for x