Trigonometric functions

Trigonometric functions explained: sine, cosine, tangent and more, including inverse functions. With the unit circle, graphs and real-world examples.

Pick a function or tool. Each has a calculator, a graph, the unit circle and an explanation of where it is used.

Sine (sin)

sin α = opposite / hypotenuse

Calculate sine, see it on the unit circle and graph. With explanation and real-world examples.

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Cosine (cos)

cos α = adjacent / hypotenuse

Calculate cosine, see it on the unit circle and graph. With explanation and real-world examples.

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Tangent (tan)

tan α = opposite / adjacent

Calculate tangent, see it on the unit circle and graph. With explanation and real-world examples.

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Cotangent (cot)

cot α = adjacent / opposite

Calculate cotangent, see it on the unit circle and graph.

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Secant (sec)

sec α = 1 / cos α

Calculate secant, see it on the unit circle and graph.

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Cosecant (csc)

csc α = 1 / sin α

Calculate cosecant, see it on the unit circle and graph.

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Arcsine (arcsin)

arcsin x = the angle whose sine is x

Calculate arcsine – the angle whose sine is x.

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Arccosine (arccos)

arccos x = the angle whose cosine is x

Calculate arccosine – the angle whose cosine is x.

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Arctangent (arctan)

arctan x = the angle whose tangent is x

Calculate arctangent – the angle whose tangent is x.

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Unit circle

sin, cos, tan on the circle

Interactive unit circle: drag the angle and see sin, cos and tan at once. The best way to understand trigonometry.

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Right triangle solver

sin, cos, tan, Pythagoras

Enter any two values (sides or angle) and solve the rest of a right triangle with trigonometry.

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