Find all solutions of the equation in the interval [0,2π) cos⁡2x=32

abondantQ

abondantQ

Answered question

2021-08-15

Find all solutions of the equation in the interval [0,2π)
cos2x=32

Answer & Explanation

funblogC

funblogC

Skilled2021-08-16Added 91 answers

We use Trigonometry table to find solutions of equation
cos2x=32
cos2x=cosπ6
2π=π6
x=π12
cos2x=cos(2ππ6)
cos2x=cos(11π6)
2x=11π6
x=11π12
Solution of equation:
x=π12,11π12
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-11Added 2575 answers

Answer is given below (on video)

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