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Question
The principle solutions of the equation cos θ = `1/2` are ______.
Options
`π/6, (5π)/6`
`π/3, (5π)/3`
`π/6, (7π)/6`
`π/3, (2π)/3`
Solution
The principle solutions of the equation cos θ = `1/2` are `bbunderline(π/3, (5π)/3)`.
Explanation:
cos θ = `1/2`
= cos `π/3`
= `cos (2π - π/3)`
= `cos (5 pi)/3`
∴ Principal solution: `pi/3, (5 pi)/3` ∈ (0. 2π)
∴ `π/3, (5π)/3`
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