Write the General Solutions of Tan2 2x = 1.

प्रश्न

Write the general solutions of tan² 2x = 1.

बेरीज

उत्तर

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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पाठ 11: Trigonometric equations - Exercise 11.2 [पृष्ठ २६]

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आर.डी. शर्मा Mathematics [English] Class 11

पाठ 11 Trigonometric equations
Exercise 11.2 | Q 3 | पृष्ठ २६

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