Triangle RST is rotated 90° in a clockwise direction. What is the name of the image after the rotation?

1 answer:

7 0

When the triangle RST is rotated by 90° in a clockwise direction, the name of the image after the rotation would be SRT.

The reason you get a name like this is because you're not only rotating the triangle, you also rotating the letters along with the image.

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eimsori [14]

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6 0

3 years ago

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harkovskaia [24]

Answer:

○ $\displaystyle -\frac{2\sqrt{3}}{3}\:[or\:-\frac{2}{\sqrt{3}}]$

Step-by-step explanation:

You have to know the Unit Circle on this one. So, to start off, in the degree-angle range from 180° - 270° [Quadrant III], you must figure out the cosine value that gives you −½, and according to the graph, theta will be represented as 240°. So, now that we have our θ, looking at the y-value 240°, since we want the cosecant function, all we have to do is take the multiplicative inverse of $\displaystyle -\frac{\sqrt{3}}{2},$ which gives you $\displaystyle -\frac{2\sqrt{3}}{3}.$