## anonymous one year ago Please help! :) Suppose you start at the point (1,0) on a unit circle and move some distance t along the circle to the terminal point P(8/17,15/17). What would the exact coordinates of the terminal point be if you had instead moved: a distance t+π? Terminal Point would be at P( , ) a distance t+2π? Terminal Point would be at P( , ) a distance −t? Terminal Point would be at P( , ) No decimals! Hint: make a sketch of the unit circle and t.

1. welshfella

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2. welshfella

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3. welshfella

the point P corresponds to the angle pi + t

4. welshfella

so what do you think the coordinates of P are?

5. anonymous

the coordinates of p for the first one are (-sqrt3/2,-1/2)

6. welshfella

???? I don't understand that

7. anonymous

or maybe it's just negative (-8/17,-15/17)

8. welshfella

yes

9. anonymous

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10. welshfella

that is correct

11. anonymous

for 2pi would it be something like this?

12. welshfella

No 2pi is a complete circle P would come back to the same place

13. welshfella

what you have drawn is - t

14. welshfella

now you have all the answers

15. welshfella

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16. anonymous

which would be 8/17,-15/17 :)

17. welshfella

Yes that is correct for -t

18. anonymous

so what if the distance would be t +pi/2?

19. welshfella

the same as for t

20. welshfella

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21. anonymous

thanks! :) and for t-pi/2 is that just negative?

22. welshfella

t - pi/2 will take you back to t + pi/2

23. welshfella

- the first part

24. hartnn

$$\color{blue}{\text{Originally Posted by}}$$ @sana97 so what if the distance would be t +pi/2? $$\color{blue}{\text{End of Quote}}$$ $$\color{blue}{\text{Originally Posted by}}$$ @welshfella the same as for t $$\color{blue}{\text{End of Quote}}$$ if the distance is t+ pi/2, the co-ordinates will not be same as that of 't'. I think welshfella mistook it for t +2pi ... |dw:1444057152219:dw|

25. hartnn

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26. welshfella

ah yes My mistake..