High School Trigonometry/General Definitions of Inverse Trigonometric Functions

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General Definitions of Inverse Trig Functions[edit]

Ordinary trigonometric functions yield a value after inputting an angle(1). Inverse trignometric functions yield an angle after inputting a value(2).

1:\sin (\theta)=x

2:\arcsin (x)=\theta

As seen above, the notation for the inverse of a trigonometric function is to simply put the letters arc in front of the function name. Sometimes, just an a is used: asin. It may also be represented by a superscripted -1 over the function. For example, sin-1(x)

Inverse functions exist for all 6 trigonometric functions.