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Find rectangular coordinates for each point with the given polar coordinates

Find rectangular coordinates for each point with the given polar coordinates-example-1
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6 votes

Answer

the rectangular coordinate is (6.15, 7.88)

Step-by-step explanation

Given the following points

B = (10, 52 degrees)

B = ( r, theta)

Let r = 10 and theta = 52 degrees

Step 1: Find sin 52 and cos 52

Sin 52 = 0.7880

Cos 52 = 0.6157

Step 2: find the x and y - coordinates

X - coordinate = r x cos 52

y - coordiante = r x sin 52

x - coordiante = 10 x 0.6157

x - coordiante = 6.15

y - coordinate = 10 x 0.7880

y - coordinate = 7.88

Therefore, the rectangular coordinate is (6.15, 7.88)

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