Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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# Sketch the Graph of the Following Function: θ ( X ) = Sin ( X 2 − π 4 ) , 0 ≤ X ≤ 4 π - Mathematics

Short Note

Sketch the graph of the following function:

$\theta\left( x \right) = \sin \left( \frac{x}{2} - \frac{\pi}{4} \right), 0 \leq x \leq 4\pi$

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#### Solution

$\theta\left( x \right) = \sin \left( \frac{x}{2} - \frac{\pi}{4} \right), 0 \leq x \leq 4\pi$
 x $\frac{\pi}{2}$ $\frac{5\pi}{2}$ $\theta\left( x \right) = \sin \left( \frac{x}{2} - \frac{\pi}{4} \right)$ 0 0

Concept: Graphs of Trigonometric Functions
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 6 Graphs of Trigonometric Functions
Exercise 6.1 | Q 1.6 | Page 5
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