For this problem, we are given the tangent of an angle and the cotangent of another. We need to determine its signals.
The tangent is the division between the sine and cosine, while the cotangent is the opposite.
The first angle is a tangent of 299. The angle 299º is located on the fourth quadrant, where the sine is negative and the cosine is positive, this means that the tangent will be negative.
The second angle is a cotangent of 103 degrees. The angle 103 degrees is located on the second quadrant, where the sine is positive, and the cosine is negative, this means that the cotangent will be negative.
The tan299º is negative.
The cot133º is negative.