Math - Trig identities

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cos(a+b)

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

cos(a-b)

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

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))

sin(2a)

2sin(a)cos(a)

cos(2a) *b

cos²(a) - sin²(a)

cos(2a) *c

2cos²(a) - 1

cos(2a) *s

1 - sin²(a)

tan(2a)

(2tan(a)) / (1-tan²(a))

sin²(a)

(1 - cos(2a))/2

cos²(a)

(1 + cos(2a))/2

tan(a/2)

(1 - cos(a)) / (sin(a))

sin(a) + sin(b)

2sin((a+b)/2)cos((a-b)/2)

sin(a) - sin(b)

2cos((a-b)/2)sin((a+b)/2)

cos(a) + cos(b)

2cos((a+b)/2)cos((a-b)/2)

cos(a) - cos(b)

-2sin((a+b)/2)sin((a-b)/2)

2sin(a)cos(b)

sin(a + b) + sin(a - b)

2cos(a)cos(b)

cos(a + b) + cos(a - b)

2sin(a)sin(b)

cos(a + b) - cos(a - b)

sin(3a)

3sin(a) - 4sin³(a)

cos(3a)

4cos³(a) - 3cos(a)

tan(3a)

(3tan(a) - tan³(a)) / (1 - 3tan²(a))

(sin(3a)) / 4

(sin(a))(sin(60+a))(sin(60-a))

(cos(3)) / 4

(cos(a))(cos(60+a))(cos(60-a))

sin²(a) + cos²(a)

1

sec(a)

1 / cos(a)

csc(a)

1 / sin(a)

tan(a)

sin(a) / cos(a)

cot(a)

cos(a) / sin(a)

sin(-a)

-sin(a)

cos(-a)

cos(a)

tan²(a) + 1

sec²(a)

cot²(a) + 1

csc²(a)

sin(30)

1/2

sin(45)

rt(2) / 2

sin(60)

rt(3) / 2

sin(0)

0