find another angle between 0 less than or equal to theta less than or equal 360 such that tangent theta equals tangent 128 degrees

Answer 1

To find another angle that satisfies the equation tan(theta) = tan(128 degrees), we can use the knowledge that the tangent function has a period of 180 degrees. This means that any angle theta can be written as theta = 128 degrees + n * 180 degrees, where n is an integer.

So, to find another angle, we solve for theta:

theta = 128 degrees + n * 180 degrees

For n = 0, theta = 128 degrees + 0 * 180 degrees = 128 degrees.

For n = 1, theta = 128 degrees + 1 * 180 degrees = 308 degrees.

Therefore, the two angles between 0 and 360 degrees that satisfy the equation tan(theta) = tan(128 degrees) are 128 degrees and 308 degrees.