Find the rectangular coordinates for the point whose polar coordinates are given.?

2016-07-06 8:11 am
(5 sqrt3, -5pi/3)

x,y=

回答 (1)

2016-07-06 8:26 am
✔ 最佳答案
x = 5√3 × cos(-5π/3)
= 5√3 × cos(5π/3)
= 5√3 × cos[2π - (π/3)]
= 5√3 × cos(π/3)
= 5√3 × (1/2)
= (5√3)/2

y = 5√3 × sin(-5π/3)
= 5√3 × [-sin(5π/3)]
= -5√3 × sin[2π - (π/3)]
= -5√3 × [-sin(π/3)]
= 5√3 × (√3/2)
= 15/2

(x, y) = ((5√3)/2, 15/2)


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