Question

Given the point `P(0.6, 0.8)`, how do you find `sintheta` and `costheta`?

Answer 1

Compute the r component of the polar coordinates, then use `y = rsin(theta) and x = rcos(theta)`

Explanation:

Use the equation:

`r = sqrt(x^2 + y^2)`

`r = sqrt(0.6^2 + 0.8^2)`

`r = sqrt(0.36 + 0.64)`

r = 1

Use the equations `y = rsin(theta) and x = rcos(theta)`

`0.8 = (1)sin(theta) and 0.6 = (1)cos(theta)`

`sin(theta) = 0.8 and cos(theta) = 0.6`