Find all values for x in the interval [0^\circ,\ 360^\circ] 2\cos

Fearne Castro

Fearne Castro

Answered question

2022-02-25

Find all values for x in the interval [0, 360]
2cosxcos2x=54

Answer & Explanation

Alissia Head

Alissia Head

Beginner2022-02-26Added 5 answers

2cosx(1+2cos2x)=54
2cos2x2cosx+14=0
And I get:
cosx=2±24
In general, solving an equation for cosx and getting cosx=a, your final answer would be something like:
x=2kπ±a; kZ
And you need to replace k to get the appropriate answers in the interval. For instance, for k=1:
x=2π±cos1(2±24)

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