Find y, if 2cos^2(y)−cos(y)−1=0

glamrockqueen7

glamrockqueen7

Answered question

2021-08-19

Find y, if
2cos2(y)cos(y)1=0

Answer & Explanation

d2saint0

d2saint0

Skilled2021-08-20Added 89 answers

2cos2(y)cos(y)1=0
Let cos(y) be x:
2x2x1=0
x=1.x=12.
Substitute x=cos(y)
cos(y)=1.cos(y)=12.
1. cos(y)=1
y=2πn
2.cos(y)=12
y=2π3+2πn
y=4π3+2πn
The final answer:
y=2πn.y=2π3+2πn.y=4π3+2πn.

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