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Find the principal solutions of cot θ = 0

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Question

Find the principal solutions of cot θ = 0

Sum
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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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2021-2022 (March) Set 1

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