## anonymous one year ago Find the rectangular coordinates of the point with the polar coordinates. ordered pair 3 comma 2 pi divided by 3 ordered pair negative 3 divided by 2 comma 3 square root 3 divided by 2 ordered pair 3 square root 3 divided by 2 comma negative 3 divided by 2 ordered pair negative 3 divided by 2 comma 3 divided by 2 ordered pair 3 divided by 2 comma negative 3 divided by 2 @pooka195 @solomonzelman @paki @thomaster @loser66 @luigi0210 @uri @compassionate @undeadknight26 @kropot72

1. SolomonZelman

|dw:1436469711600:dw|

2. anonymous

whats next? @SolomonZelman

3. SolomonZelman

You are given the r, and need to find the cosine and sine of theta for conversions.

4. anonymous

how do i do that can u show me step by step? @SolomonZelman

5. SolomonZelman

$$x=r\cos(\theta)=3\cos(2 \pi /3)$$ $$y=r\sin(\theta)=3\sin(2 \pi /3)$$ you just need to simplify the result for x and result for y, and write it as a point (x,y)

6. anonymous

how do i simplify the result

7. SolomonZelman

If you can't calculate 2π/3 you can use a calculator for that... for example wolframalpha.com

8. anonymous

so its a? @sol

9. anonymous

@SolomonZelman

10. SolomonZelman

can you write out the choice not using words?

11. anonymous

can u help me with another problem? @SolomonZelman

12. SolomonZelman

Perhaps in a different question... I am kinda barely getting time to reply (getting bugged alot, sorry) will see how it goes.

13. anonymous

Find the vertices and foci of the hyperbola with equation quantity x plus 5 squared divided by 81 minus the quantity of y minus 3 squared divided by 144 = 1. Vertices: (4, 3), (-14, 3); Foci: (-20, 3), (10, 3) Vertices: (3, 7), (3, -17); Foci: (3, -17), (3, 7) Vertices: (7, 3), (-17, 3); Foci: (-17, 3), (7, 3) Vertices: (3, 4), (3, -14); Foci: (3, -20), (3, 10)

14. anonymous

15. anonymous

@SolomonZelman