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Question
Find the principal solutions of cot θ = 0
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Solution
Given, cot θ = 0
Since, cot θ ∈ (0, 2π)
∴ cot θ = 0 = `cot π/2 = cot(π + π/2)` ......[∵ cot (π + θ) = cot θ]
∴ cot θ = `cot π/2 = cot (3π)/2`
∴ θ = `π/2` or θ = `(3π)/2`
Hence, the required principal solutions are `{π/2, (3π)/2}`
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