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Tangent

tangent
tan

The trig function tangent, written tan θ. tan θ equals Right triangle with angle θ, showing sin θ (opposite side) and cos θ (adjacent side), illustrating tan θ = sin θ / cos θ.. For acute angles, tan θ can be found by the SOHCAHTOA definition as shown below on the left. The circle definition, a generalization of SOHCAHTOA, is shown below on the right. f(x) = tan x is a periodic function with period π.

 

Two diagrams showing tan θ = opposite/adjacent (right triangle, SOHCAHTOA) and tan θ = y/x = slope of radius (unit circle).

 

 

See also

Inverse tangent, angle