Question

convert (2,-25 degrees) into rectangular coordinates from polar coordinates

Answer 1

Solution-

The rectangular coordinates voor spending to poplar coordinates (r p) are

x=r[(cos(p)], y= r[sin(p)]

Now, according to question, we need to convert (2, -25°) into rectangular coordinates from polar coordinates.

So, for polar coordinates (2, -25°) rectangular coordinates are

x = 2 cos(-25°) = 2cos(25°) =2×0.9063 = 1.8126

y = 2 sin(-25°) = 2×-sin(25°) =2×(-0.4226) = -0.8452

Note:- cos(-p) =cos(p) and sin(-p) = -sin(p)

Hence, the required rectangular coordinates are

(x,y) = [2cos(-25°), 2sin(-25°)]

=(1.8126, -0.8452)