How do you convert (2,(-7pi)/6) into cartesian form?

1 Answer
Y
May 10, 2017

Use x=rcostheta and y=rsintheta. Answer: (-sqrt(3),1)

Explanation:

Original problem: Convert (2, -(7pi)/6) to Cartesian

To convert from polar coordinates to Cartesian form, we use the equations x=rcostheta and y=rsintheta.

Since we have (r,theta), we can simply substitute into the above formulas:
x=2cos(-(7pi)/6)
Using our unit circle trig values
x=2(-sqrt(3)/2)
x=-sqrt(3)

y=2sin(-(7pi)/6)
Using our unit circle trig values
y=2(1/2)
y=1

Therefore our final answer in Cartesian form is: (-sqrt(3),1)

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