Find all values of x in the interval [ 0 , 2 π ] that...

racodelitusmn

racodelitusmn

Answered

2022-07-15

Find all values of x in the interval [ 0 , 2 π ] that satisfy the equation:
sin 2 x = cos x

Answer & Explanation

Gustavo Brady

Gustavo Brady

Expert

2022-07-16Added 9 answers

sin 2 x = cos x
2 sin x cos x = cos x
2 sin x cos x cos x = 0
cos x ( 2 sin x 1 ) = 0
cos x = 0       sin x = 1 2
x = π 2 ; 3 π 2       x = π 6 ; 5 π 6
Jeffrey Jordon

Jeffrey Jordon

Expert

2022-08-01Added 2575 answers

Answer is given below (on video)

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