# Period of Trigonometric Functions

/A very common question in HSC Maths papers is to find the period of a given trig function. Some students regret putting the period of tan(x) as 2π in last year's HSC 2Unit paper! Here is a quick tutorial set on determining the period of trigonometric functions. Answers are given below.

- sin(x)
- 2cos(x)
- tan(x)
- csc(x)
- sec(x)
- cot(x)
- 3sin(2x)
- tan(2x)
- cos(x/2)
- sin(πx+3)
- 2cos(x/3+Ο)
- cos(x)+sin(x)
- cos(2x)+sin(2x)
- cos(x/2)+sin(x/2)
- sin(x)+sin(2x)
- sin(x)+sin(2x)+sin(3x)

[2π, 2π, π, 2π, 2π, π, π, π/2, 4π, 2, 6π, 2π, π, 4π, 2π, 2π]