(0, 0), because sin(0) = 0. As sine approaches π/2, the value increases to the maximum of 1. The value then decreases and returns back to the x-axis at π and continues to the minimum value of -1 at 3π/2. The function returns to the x-axis as it completes its period at...
The secant function has asymptotes where the cosine function has x-intercepts. This is due to the reciprocal of 0 being undefined. The asymptotes occur every π radians, or 180°. See values in the table below. The secant function continues indefinitely and has a period of 2π. The ...
I've included the group by to make the point that the average procedure then works for any averaging period. The actual best answer, I suspect, is to use a user-defined function, but I haven't managed that as it has to be done in C or C++ and I don't have any background in th...
The tangent function repeats after certain intervals due to the fact that it is periodic. The period of the tangent function is π, or approximately 3.14159. Therefore, the tangent function has the same values for everyx + kπ, wherekis an integer. ...
The curve begins at the maximum, (0, 1), because cos(0) = 1. As cosine approaches π/2, the value decreases to the x-axis. The value then continues to decrease to the minimum value of -1 at π. The function increases to the x-axis at 3π/2 and completes its period at 2π ...
The x-intercepts occur in each period and are separated by a distance of one period. The cotangent function continues indefinitely and has a period of π. Cotangent TableThe table below shows common angles and the cot value for each of them. -√3...
The cosecant function has asymptotes where the sine function has x-intercepts. This is due to the reciprocal of 0 being undefined. The asymptotes occur every π radians, or 180°. See values in the table below. The cosecant function continues indefinitely and has a period of 2π. The rela...