precalc 3B identities + other stuff

sin²(x)+cos²(x)

1

1-sin²x

cos²(x)

sin²(x)-1

-cos²(x)

1+cot²(x)

csc²(x)

cos²(x)-sin²(x)

cos(2x)

1-2sin²(x)

cos(2x)

tan²(x)+1

sec²(x)

2sin(x)cos(x)

sin(2x)

2cos²(x)-1

cos(2x)

tan(a+b)

tan(a) ± tan(b) / 1 ± tan(a)tan(b)

principle values

sin (Q1, Q4) cos (Q2, Q3), Tan (Q1, Q4)

All solutions

in one unit circle then add 2(pi)k

y=sin(x)

restricted domain [-pi/2, pi/2]

y=cos(x)

restricted domain [0,pi]

y=tan(x)

restricted domain [-pi/2, pi/2]

y=sin^-1(x)

y=cos^-1(x)

y=tan^-1(x)

y=csc(x)

y=sec(x)

y=cot(x)

sin(-a)

-sin(a)

cos(-a)

cos(a)

tan(-a)

-tan(a)

a=b

cardioid

a>b

dimpled

a<b

looped

r=theta

swirl