Question

Sketch the curves of the given functions by addition of ordinates. $y=3-2 \cos x$

Solution

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1 of 2We are given:

$y=3-2\cos x$

Let $y_1=3$ and $y_2=-2\cos x$. Since $\cos x$ has a period of $2\pi$, then we make a table of values and add the ordinates for $-2\pi\leq x\leq 2\pi$ (two periods), plot the points $(x,y_1+y_2)$, and connect them with a smooth curve:

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