Answered

Sumali sa komunidad ng IDNStudy.com at simulang makuha ang mga sagot. Sumali sa aming platform upang makatanggap ng mabilis at eksaktong tugon mula sa mga propesyonal sa iba't ibang larangan.

what the coordinate of the terminal point of 19 pi

Sagot :

Caballerorjidn
The terminal point is where you land on a unit circle if you travel around (counterclockwise, starting at (1,0)) for t radians. 

t = 19pi/6 = (12pi + 7pi)/6 = 2pi + 7pi/6 

The distance around a circle is only 2pi, so we can throw out one whole rotation and call it 7pi/6. 

For pi/6, the terminal point is (sqrt3/2, 1/2). It's one of the standard identities to learn to either derive or memorize whenever it comes up. 

For 7pi/6, it's pi/6 then a full half rotation (pi), which will swing it down from +x,+y to -x,-y but not change anything else, so... 

P(-sqrt3/2, -1/2) 

The reference number is what you get when you shave off all the extra 2pi and pi and pi/2, so all you have left is the remainder in the first quadrant (+x,+y). You use the extra round values of pi to move around the circle and see which quadrant the answer will land in. Then you flip around + and - as necessary to jump from the reference number to the correct quadrant. 

In this case, the reference number is pi/6.
Natutuwa kami na ikaw ay bahagi ng aming komunidad. Magpatuloy sa pagtatanong at pagbibigay ng mga sagot. Sama-sama tayong lumikha ng isang masiglang komunidad ng pagkatuto. Umaasa kami na natagpuan mo ang hinahanap mo sa IDNStudy.com. Bumalik ka para sa mas maraming solusyon!