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Question
Find the general solution of the following equation :
cosθ = `sqrt(3)/(2)`
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Solution
The general solution of cos θ = cos α is
θ = 2nπ ± α, n ∈ Z
Now,
`cos θ = (sqrt(3))/(2) = cos (pi)/(6) ...[∵ cos pi/(6) = (sqrt(3))/(2)]`
∴ the required general solution is
θ = 2nπ ± `pi/(6)`, n ∈ Z.
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