Trig Identities

1/csc(x)

sin(x)

1/sec(x)

cos(x)

1/cot(x)

tan(x)

sin(x)/cos(x)

tan(x)

cos(x)/sin(x)

cot(x)

sin²x+ cos²x

1

tan²(x)+1

sec²(x)

cot²(x)+1

csc²(x)

2sin(x)cos(x)

sin(2x)

cos²(x) - sin²(x)

cos(2x)

1- 2sin²(x)

cos(2x)

2cos²(x)-1

cos(2x)

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

sin(a+b)

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

sin(a-b)

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

cos (a+b)

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

cos (a-b)