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Find the general solution of the following equation: cot θ = 0.

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Question

Find the general solution of the following equation:

cot θ = 0.

Sum
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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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Chapter 3: Trigonometric Functions - Exercise 3.1 [Page 75]

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