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प्रश्न
Sketch the graph of the following trigonometric functions:
\[\phi\left( x \right) = 2 \cos\left( x - \frac{\pi}{6} \right)\]
टिप्पणी लिखिए
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उत्तर
\[y = 2 \cos\left( x - \frac{\pi}{6} \right)\]
\[ \Rightarrow y - 0 = 2 \cos\left( x - \frac{\pi}{6} \right) . . . (i)\]
\[\text{ On shifting the origin at }\left( \frac{\pi}{6}, 0 \right), \text{ we get: }\]
\[x = X + \frac{\pi}{6}\text{ and }y = Y + 0\]
On subsitituting the values in (i), we get:
\[Y = 2 \cos X\]
\[\text{ Then, we draw the graph of }Y = \cos x\text{ and shift it by }\frac{\pi}{6}\text{ to the right}.\]
Then, we obtain the following graph:
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