Double Angle Calculator
Calculate sin(2θ), cos(2θ), tan(2θ) and triple angle formulas with step-by-step explanations.
Input
Quick Values:
Double Angle (2θ = 60.00°)
sin(2θ) = 0.86602540
cos(2θ) = 0.50000000
tan(2θ) = 1.73205081
Original Values (θ = 30.00°)
sin(θ)
0.500000
cos(θ)
0.866025
tan(θ)
0.577350
cos(2θ) - Three Forms
cos²θ - sin²θ = 0.50000000
2cos²θ - 1 = 0.50000000
1 - 2sin²θ = 0.50000000
Triple Angle (3θ = 90.00°)
sin(3θ) = 1.00000000
cos(3θ) = 0.00000000
Double Angle Formulas
sin(2θ)
= 2 sin(θ) cos(θ)
cos(2θ)
= cos²(θ) - sin²(θ)
= 2cos²(θ) - 1
= 1 - 2sin²(θ)
tan(2θ)
= 2tan(θ) / (1 - tan²(θ))