Math - Trig Ids (type 1)

Memorizing the different trig ids

1/csc (x)

sin(x)

1/sec (x)

cos(x)

1/cot (x)

tan(x)

1/sin (x)

csc(x)

1/cos(x)

sec(x)

1/tan(x)

cot(x)

sin(x)/cos(x)

tan(x)

cos(x)/sin(x)

cot(x)

sin²(x) + cos²(x)

1

1 + tan²(x)

sec²(x)

1 + cot²(x)

csc²(x)

1 - cos²(x)

sin²(x)

1 - sin²(x)

cos²(x)

sec²(x) - 1

tan²(x)

tan²(x) + 1

sec²(x)

sin(π/2 - x)

cos(x)

cos(π/2 - x)

sin(x)

tan(π/2 - x)

cot(x)

cot(π/2 - x)

tanx

csc(π/2 - x)

secx

sec(π/2 - x)

cscx

sin(π-x)

sinx

cos(π-x)

-cosx

csc(π-x)

cscx

sec(π-x)

-secx

tan(π-x)

-tanx

cot(π-x)

-cotx

sin(-x)

-sin(x)

csc(-x)

-csc(x)

cos(-x)

cos(x)

sec(-x)

sec(x)

tan(-x)

-tan(x)

cot(-x)

cot(-x)

sin(a+b)

sina cosb + sinb cosa

sin(a-b)

sina cosb - sinb cosa

cos(a+b)

cosa cosb - sina sinb

cos(a-b)

cosa cosb + sina sinb

tan(a+b)

(tana + tanb)/(1- tana tanb)

tan (a-b)

(tana - tanb)/(1 + tana tanb)

sin (2θ)

2 sinθ cosθ

cos(2θ)

cos²θ – sin² θ

2 cos²θ – 1

1 – 2sin2 θ

tan(2θ)

(2tanθ)/(1 – tan²θ)