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# What is principle value in trigonometry?

Updated: 12/14/2022

Wiki User

10y ago

The trigonometric functions: sine, cosine, tan as well as their reciprocals are periodic so that their value repeats every 2Ï€ radians. As a result, the inverse operations are functions only over restricted domains, as follows.

Sine : âˆ’Ï€/2 â‰¤ y â‰¤ Ï€/2

Cosine: 0 â‰¤ y â‰¤ Ï€

Tangent: âˆ’Ï€/2 < y < Ï€/2

The principal value is the angle that lies within the relevant range. All other solutions are non-principal.

Similarly, the principal square root of a positive real number is the positive square root. The negative root is not the principal root.

Wiki User

10y ago

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