Trigonometry

Cosine Double Angle

cos(2θ) using the double-angle identity.

Formula

Formula
cos 2θ = cos2θ − sin2θ

Variables

SymbolDefinitionType & rangeUnitsRole
θ angle (deg) computed result result

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givenangle θ (deg) = 30
Result0.5
Example 2
Givenangle θ (deg) = 60
Result-0.5