trig identities

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12 Terms

1
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cos²θ + sin²θ =

1

2
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tan²θ + 1 =

sec²θ

3
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cot²θ + 1 =

csc²θ

4
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sin (A +- B) =

(sin A × cos B) +- (cos A × sin B)

5
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cos (A +- B) =

(cos A × cos B) -+ (sin A × sin B)

6
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tan (A +- B) =

(tan A +- tan B) / (1 -+ tan A × tan B)

7
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sin2θ =

2sinθ × cosθ

8
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cos2θ =

cos²θ - sin²θ

1 - 2sin²θ

2cos²θ - 1

9
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tan2θ =

2tanθ / 1 - tan²θ

10
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sin(θ/2) =

+-√1 - cosθ / 2

11
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cos(θ/2) =

+-√1 + cosθ / 2

12
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tan(θ/2) =

+-√1 - cosθ / 1 + cosθ