Trigonometry Facts
Exact Values of the Inverse Trigonometric Functions

Test yourself on the exact values of the three major inverse trigonometric functions at the "nice" values. Remember the restriction on the range for each function. Click on "Show" and "Hide" in each table cell to control which values are displayed. Work on these values until you know them all!

I. In Radians

Values of inverse sine and inverse cosine (in radians)
x= -1 -root 3 over 2 -root 2 over 2 - 1 over 2 0 1 over 2 root 2 over 2 root 3 over 2 1
sin-1(x) inv sin(-1)
Show Hide		 inv sin(- root 3 over 2)
Show Hide		 inv sin(- root 2 over 2)
Show Hide		 inv sin(- 1 over 2)
Show Hide		 inv sin(0)
Show Hide		 inv sin(1 over 2)
Show Hide		 inv sin(root 2 over 2)
Show Hide		 inv sin(root 3 over 2)
Show Hide		 inv sin(1)
Show Hide
cos-1(x) inv cos(-1)
Show Hide		 inv cos(- root 3 over 2)
Show Hide		 inv cos(- root 2 over 2)
Show Hide		 inv cos(- 1 over 2)
Show Hide		 inv cos(0)
Show Hide		 inv cos(1 over 2)
Show Hide		 inv cos(root 2 over 2)
Show Hide		 inv cos(root 3 over 2)
Show Hide		 inv cos(1)
Show Hide

Values of inverse tangent (in radians)
x= - root 3 - 1 -root 3 over 3 0 root 3 over 3 1 root 3
tan-1(x) inv tan(- root 3)
Show Hide		 inv tan(-1)
Show Hide		 inv tan(- root 3 over 3)
Show Hide		 inv tan(0)
Show Hide		 inv tan(root 3 over 3)
Show Hide		 inv tan(1)
Show Hide		 inv tan(root 3)
Show Hide

II. In Degrees

Values of inverse sine and inverse cosine (in degrees)
x= -1 -root 3 over 2 -root 2 over 2 - 1 over 2 0 1 over 2 root 2 over 2 root 3 over 2 1
sin-1(x) inv sin(-1)
Show Hide		 inv sin(- root 3 over 2)
Show Hide		 inv sin(- root 2 over 2)
Show Hide		 inv sin(- 1 over 2)
Show Hide		 inv sin(0)
Show Hide		 inv sin(1 over 2)
Show Hide		 inv sin(root 2 over 2)
Show Hide		 inv sin(root 3 over 2)
Show Hide		 inv sin(1)
Show Hide
cos-1(x) inv cos(-1)
Show Hide		 inv cos(- root 3 over 2)
Show Hide		 inv cos(- root 2 over 2)
Show Hide		 inv cos(- 1 over 2)
Show Hide		 inv cos(0)
Show Hide		 inv cos(1 over 2)
Show Hide		 inv cos(root 2 over 2)
Show Hide		 inv cos(root 3 over 2)
Show Hide		 inv cos(1)
Show Hide

Values of inverse tangent (in degrees)
x= - root 3 - 1 -root 3 over 3 0 root 3 over 3 1 root 3
tan-1(x) inv tan(- root 3)
Show Hide		 inv tan(-1)
Show Hide		 inv tan(- root 3 over 3)
Show Hide		 inv tan(0)
Show Hide		 inv tan(root 3 over 3)
Show Hide		 inv tan(1)
Show Hide		 inv tan(root 3)
Show Hide

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