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Question
The general solution of the equation tan2 x = 1 is ______.
Options
`nπ + π/4`
`nπ - π/4`
`nπ ± π/4`
`2nπ ± π/4`
MCQ
Fill in the Blanks
Solution
The general solution of the equation tan2 x = 1 is `underlinebb(nπ ± π/4)`.
Explanation:
Since, tan2 x = 1
`\implies` tan2 x = 12
`\implies` tan2 x = `tan^2 π/4`
`\implies` x = `nπ ± π/4`
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Trigonometric Equations and Their Solutions
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