Trig Identities: Sum, Difference, Double Angle, Half Angle, Power Reducing

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sin(a + b)

sin(a)cos(b) + cos(a)sin(b)

sin(a - b)

sin(a)cos(b) - cos(a)sin(b)

tan(a + b)

tan(a) + tan(b) ---------------- 1 - tan(a)tan(b)

tan(a - b)

tan(a) - tan(b) ---------------- 1 + tan(a)tan(b)

cos²a

1+cos2a ------- 2

csc²a

1+cot²a

sec²a

1+tan²a

cos (2a)

1- 2sin²(a)

sin²a

1-cos2a ------- 2

tan²a

1-cos2a ------- 1+cos2a

cos (2a)

2cos²(a)-1

sin(2a)

2sin(a)cos(a)

tan(2a)

2tan(a) ----------- 1 - tan²(a)

cos(a - b)

cos(a)cos(b) + sin(a)sin(b)

cos(a + b)

cos(a)cos(b) - sin(a)sin(b)

cos (2a)

cos²(a) - sin²(a)

2tan(a) ----------- 1 + tan²(a)

nothing


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