Domain Of Tangent In Interval Notation

When does this happen.

Domain of tangent in interval notation. The domain is all values of x x that make the expression defined. Because x can t equal 0 for the tangent function to work this rule holds true. On the other hand the range is the defined values in the y axis.

1 points details scalc8 6 2star 048 mi. Set builder notation. To see it let s plot the allowed values on a number line.

Y y r y y ℝ determine the domain and range. In radians or any odd multiple of. You can use as many u symbols as necessary if the domain has multiple gaps in it.

In interval notation we use a square bracket when the set includes the endpoint and a parenthesis to indicate that the endpoint is either not included or the interval is unbounded. They will not be included in the domain and parentheses will be used in the interval notation. X x π 2 πn x x π 2 π n for any integer n n.

Now y x is undefined when x 0. Since the denominator cannot be zero evaluate all values of theta where on the interval. To discover the area set the denominator to 0 and remedy because of the fact the denominator of a fraction can t be 0.

Both the tangent and secant functions have ratios with x in the denominator making their domains the same. These values of theta are asymptotes and will not exist on the tangent curve. Or any odd multiple of 90 degrees.