Does anyone know anything bout angles?

Mathematics

1 answer:

irakobra [83]3 years ago

7 0

Complementary is when the two angles add up to 90 degrees.

Supplementary is when the two angles add up to 180 degrees.

To find a complementary angle do 90 minus the given angle.

To find a supplementary angle do 180 minus the given angle.

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2.Sketch the region whose area is given by the integral and evaluate the integral.

boyakko [2]

2. The integration region,

$\left\{(r,\theta)\mid\dfrac\pi6\le\theta\le\dfrac\pi2\land2\le r\le3\right\}$

corresponds to what you might call an "annular sector" (i.e. the analog of circular sector for the annulus or ring). In other words, it's the region between the two circles of radii $r=2$ and $r=3$ , taken between the rays $\theta=\frac\pi6$ and $\theta=\frac\pi2$ . (The previous question of yours that I just posted an answer to has a similar region with slightly different parameters.)

You can separate the variables to compute the integral:

$\displaystyle\int_{\pi/6}^{\pi/2}\int_2^3r^2\sin^2\theta\,\mathrm dr\,\mathrm d\theta=\left(\int_{\pi/6}^{\pi/2}\sin^2\theta\,\mathrm d\theta\right)\left(\int_2^3r^2\,\mathrm dr\right)$