sin(180° - θ) | sinθ | sin(π - θ) = sin θ | Sine of supplement equals original sine - symmetric about 90° |
cos(180° - θ) | −cosθ | cos(π - θ) = -cos θ | Cosine of supplement equals negative cosine - reflection across y-axis |
tan(180° - θ) | −tanθ | tan(π - θ) = -tan θ | Tangent of supplement equals negative tangent - follows from sine/cosine properties |
csc(180° - θ) | cscθ | csc(π - θ) = csc θ | Cosecant of supplement equals original cosecant - reciprocal of sine behavior |
sec(180° - θ) | −secθ | sec(π - θ) = -sec θ | Secant of supplement equals negative secant - reciprocal of cosine behavior |
cot(180° - θ) | −cotθ | cot(π - θ) = -cot θ | Cotangent of supplement equals negative cotangent - derived from tangent property |