The period of a trigonometric function is the length of one complete cycle of the function. For the sine and cosine functions, the period is 2π or 360 degrees. This means that the function repeats itself after every 2π or 360 degrees.
The period of tangent and cotangent functions is π or 180 degrees. This is because these functions have a repeating pattern every π or 180 degrees. Unlike sine and cosine, tangent and cotangent do not have a defined period of 2π.
No, the period of a trigonometric function remains the same regardless of the amplitude or phase shift values. These values only affect the shape and position of the function, but not its period.
The period of inverse trigonometric functions can be determined by looking at the corresponding trigonometric function. For example, the period of inverse sine (arcsine) is the same as the period of sine, which is 2π or 360 degrees.
No, the period of a trigonometric function can never be negative. It is always a positive value that represents the length of one complete cycle of the function.