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Question
Find the general solution of the following equation:
cot θ = 0.
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Solution
The general solution of tan θ = tan α is
θ = nπ + α, n ∈ Z
Now, cot θ = 0
∴ tan θ does not exist
∴ tan θ = `tan pi/(2) ...[∵ tan pi/(2)` does not exist]
∴ the required general solution is
θ = nπ + `pi/(2)`, n ∈ Z.
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