Find all solutions to the equation. cos2x-sqrt(2)sin(x)=1

Mark Elliott

Mark Elliott

Answered question

2022-08-04

Find all solutions to the equation:
cos 2 x 2 sin x = 1

Answer & Explanation

Andres Barrett

Andres Barrett

Beginner2022-08-05Added 14 answers

Soution:
cos 2 x 2 sin x = 1 1 2 sin 2 x 2 sin x = 1 2 sin 2 x 2 sin x = 0 sin x ( 2 sin x + 2 ) = 0 sin x ( 2 sin x + 2 ) = 0 x = 2 k π + 5 π 4

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