1. Use each trig ratio to determine all values of theta, to the nearest degree for
0<=theta<=360.
b)tan=2.1(calc)
To find the values of theta for which tan(theta) is approximately equal to 2.1, we can use the inverse tangent function (arctan) to find the angle. In this case, we are looking for values of theta between 0 and 360 degrees.
arctan(2.1) is approximately 63.43 degrees, so one value of theta is 63 degrees.
To find the other values of theta, we need to consider the periodicity of the tangent function. The tangent function has a period of 180 degrees, meaning that the values of tan(theta) repeat every 180 degrees.
To find the second value of theta, we add 180 degrees to 63 degrees:
63 + 180 = 243 degrees
Therefore, the two values of theta for which tan(theta) is approximately equal to 2.1, to the nearest degree for 0 ≤ theta ≤ 360 are:
63 degrees and 243 degrees.