A vector has negative x and y-components. The y-component is bigger than the x-component. Which of these is the only appropriate angle, measured from the +x axis, for this vector?
Its either 190, 230, 125, 290, and 350. Im confused.
To determine the appropriate angle measured from the +x axis for a vector with negative x and y-components, you need to find the angle using inverse trigonometric functions. Here's how you can do it:
Step 1: Identify the magnitudes of the x and y-components of the vector. Since the y-component is bigger than the x-component and both components are negative, this means that the vector lies in the third quadrant of the Cartesian coordinate system.
Step 2: Calculate the angle using the inverse tangent function (arctan or tan^(-1)). In this case, you want to find the angle measured counterclockwise from the +x axis. Since the vector lies in the third quadrant, the angle should be greater than 180 degrees (or π radians). However, it should also be less than 270 degrees (or 3π/2 radians) since the y-component is bigger than the x-component.
Step 3: Now let's look at the given options: 190, 230, 125, 290, and 350. From these options, the only angle that satisfies the conditions mentioned above is 230 degrees.
Therefore, the appropriate angle for this vector, measured from the +x axis, is 230 degrees.