Mathematics: Find the terminal point determined by t= 10pi/3.

Find the terminal point determined by t= 10pi/3.

Ответ:

dancer4life5642

16.01.2022

We have that
angle t= $\frac{10 \pi }{3}$

we know that
$\frac{10 \pi }{3}=(\frac{9 \pi }{3}+ \frac{ \pi }{3} )$

the terminal point belong to the III quadrant
so
the x-coordinate is negative
the y-coordinate is negative

Find the x-coordinate in the unit circle
x=r*cos t

$r=1 \\ t= \frac{ \pi}{3} \\ x=-1*cos \frac{ \pi }{3} \\ x=- \frac{1}{2}$

Find the y-coordinate in the unit circle
y=r*sin t

$r=1 \\ t= \frac{ \pi}{3} \\ y=-1*sin \frac{ \pi }{3} \\ y=- \frac{ \sqrt{3}}{2}$

the terminal point is $(- \frac{1}{2},- \frac{ \sqrt{3}}{2} )$

therefore

the answer is
$(- \frac{1}{2},- \frac{ \sqrt{3}}{2} )$

0,0(0 оценок)

Ответ:

Mrdwarf7163

08.02.2022

Mathematics

i think the answer would be c

0,0(0 оценок)

Find the terminal point determined by t= 10pi/3.

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