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cos²θ + sin²θ =
1
tan²θ + 1 =
sec²θ
cot²θ + 1 =
csc²θ
sin (A +- B) =
(sin A × cos B) +- (cos A × sin B)
cos (A +- B) =
(cos A × cos B) -+ (sin A × sin B)
tan (A +- B) =
(tan A +- tan B) / (1 -+ tan A × tan B)
sin2θ =
2sinθ × cosθ
cos2θ =
cos²θ - sin²θ
1 - 2sin²θ
2cos²θ - 1
tan2θ =
2tanθ / 1 - tan²θ
sin(θ/2) =
+-√1 - cosθ / 2
cos(θ/2) =
+-√1 + cosθ / 2
tan(θ/2) =
+-√1 - cosθ / 1 + cosθ