Question

The magnitude of vector A is 37.0 units and points in the direction 310° counterclockwise from the positive x-axis. Calculate the x- and y-components of this vector.

Answer 1

first what is an equivalent angle for 310 degrees rotated counter clockwise? -50 degrees. so we're in the fourth quadrant. meaning X must be positive and Y must be negative.

use your sine and cosine functions to get the answers now. we know sine relates to Y so use 37sine(-50) equals about -28.3

cosine relates to X so use 37cos(-50) equals about 23.8