How do you graph $r = 3 sin ((θ) + \frac{π}{4})$ $r = 3sin ((theta) + pi/4)$ ?

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How do you graph $r = 3 sin ((θ) + \frac{π}{4})$ $r = 3sin ((theta) + pi/4)$ ?

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Answer 1 · 2016-03-09T04:45:16

Draw circle with center at $(\frac{3}{2}, 3 \frac{π}{4})$ $(3/2, 3pi/4)$ and radius $\frac{3}{2}$ $3/2$ .

Explanation:

The general equation of a circle with center at $(\frac{d}{2}, \frac{π}{2} + α) and r a d i u s = \frac{d}{2}$ $(d/2, pi/2+alpha) and radius=d/2$ is
$r = d sin (θ + α)$ $r=d sin (theta+alpha)$ .

Here, d =3 and $α = \frac{π}{4}$ $alpha=pi/4$ . The circle passes through r = 0. d is diameter of the circle.

Make a table $(r, θ)}, θ = 0, \frac{π}{4}, \frac{π}{2}, 3 \frac{π}{4}, π, 5 \frac{π}{4}, 3 \frac{π}{2}, 5 \frac{π}{4} and 2 π$ $(r, theta)}, theta=0,pi/4,pi/2,3pi/4,pi,5pi/4,3pi/2,5pi/4 and 2pi$ , and mark the points on the circle.

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How do you graph $r = 3 sin ((θ) + \frac{π}{4})$ $r = 3sin ((theta) + pi/4)$ ?

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Explanation:

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How do you graph r = 3sin ((theta) + pi/4)r=3sin((θ)+π4)r = 3sin ((theta) + pi/4)?

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Explanation:

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How do you graph $r = 3 sin ((θ) + \frac{π}{4})$ $r = 3sin ((theta) + pi/4)$ ?