Question

When converting θ = π/3 to a Cartesian equation, let x = ____
1/2 r
√2/2 r
√3/2 r

Answer 1

The equations

`x = r*\cos(\theta)\\\\y = r*\sin(\theta)`

are useful to convert from polar to Cartesian

So,

`x = r*\cos(\theta)\\\\x = r*\cos\left((\pi)/(3)\right)\\\\x = r*(1)/(2) \ \text{ use unit circle} \\\\x = (1)/(2)r`

Answer: Choice A