CALCULATOR
Sine Squared via Power Reduction Calculator
Sine Squared via Power Reduction. Example: Angle: 30 degrees gives 0.25 number. Numerical sin² only; stable sinθ·sinθ AST required to avoid cancellation nearzero. Original useful product scope; historical catalog title does not grant missing modes or source parity.
Numerical sin² only; stable sinθ·sinθ AST required to avoid cancellation nearzero. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Rearrange cos2θ=1-2sin²θ; cancellation nearzero must be disclosed or stable implementation required.
Accepted inputs: Angle: -180 to 180 degrees.
How the calculation works
sin²θ=sinθ·sinθ=(1-cos2θ)/2 (stable direct product)
Worked example
With angle 30 degrees, sine squared via power reduction is 0.25 number.
Assumptions and limits
Numerical sin² only; stable sinθ·sinθ AST required to avoid cancellation nearzero. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Rearrange cos2θ=1-2sin²θ; cancellation nearzero must be disclosed or stable implementation required.