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Write the General Solutions of Tan2 2x = 1.

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Question

Write the general solutions of tan² 2x = 1.

Sum

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Solution

Given:
\[\tan^2 2x = 1\]
\[ \Rightarrow \tan 2x = \tan \frac{\pi}{4}\]
\[ \Rightarrow 2x = n\pi + \frac{\pi}{4}\]
\[ \Rightarrow x = \frac{n\pi}{2} + \frac{\pi}{8}, n \in Z\]
Hence, the general solution of the equation is
\[\frac{n\pi}{2} + \frac{\pi}{8}, n \in Z .\]

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Trigonometric Equations

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Chapter 11: Trigonometric equations - Exercise 11.2 [Page 26]

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R.D. Sharma Mathematics [English] Class 11

Chapter 11 Trigonometric equations
Exercise 11.2 | Q 3 | Page 26

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