Answer
The required answers of conversion of cylindrical to rectangular co-ordinate
a. x=2√3, y=2, z=3
b. x=-4√2, y=4√2, z=-2
c. x=5, y=0, z=4
d. x=-7, y=0, z=-9
Work Step by Step
Given:-a.(4, π/6, 3)
x=rcosθ=4cosπ/6=2√3
y=rsinθ=4sinπ/6=2
Z=3
b. (8, 3π/4, -2)
x=rcosθ=8cos3π/4=-4√2
y=rsinθ=8sin3π/4=4√2
Z=-2
C. (5, 0,4)
x=rcosθ=5cos0=5
y=rsinθ=5sin0=0
Z=4
d. (7, π, -9)
x=rcosθ=7cosπ=-7
y=rsinθ=7sinπ=0
Z=-9
Ans.
