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RECIPROCAL: sin θ
1/cscθ
RECIPROCAL: cos θ
1/secθ
RECIPROCAL: tan θ
1/cotθ
RECIPROCAL: cotθ
1/tanθ
RECIPROCAL: cscθ
1/sinθ
RECIPROCAL: secθ
1/cosθ
PYTHAGOREAN TAN
tan²θ + 1 = sec²θ
PYTHAGOREAN SIN
sin²θ + cos²θ = 1
PYTHAGOREAN COT
cot²θ + 1 = csc²θ
SUM/DIFFERENCE SIN
sin(a ± b) = sin a cos b ± cos a sin b
SUM/DIFFERENCE COS
cos(a ± b) = cos a cos b ∓ sin a sin b
SUM/DIFFERENCE TAN
tan(a ± b) = (tan a ± tan b) / (1 ∓ tan a tan b)
sin(2θ)
= 2 sin θ cos θ
COS AND SIN: cos(2θ)
cos² θ - sin² θ
COS AND 1: cos(2θ)
2cos² θ - 1
SIN AND 1: cos(2θ)
1- 2sin² θ
tan(2θ)
2tanθ / (1 - tan² θ)