Trig

counterclockwise

positive angle

clockwise

negative angle

coterminal angles

in standard position, they have the same initial and terminal sides.

special right triangles

3-4-5, 5-12-13, 8-15-17, 7-24-25, 9-40-41

reciprocal function of sin

csc

reciprocal function of cos

sec

reciprocal function of tan

cot

what function is positive in q1

all of them

what function is positive in q2

sin + csc are positive

what function is positive in q3

tan + cot are positive

what function is positive in q4

cos + sec are positive

cofunction identities

trig function of an angle = cofunction of its complementary angle

how is tan related to sin and cos

tan = sin/cos

30-60-90 right triangle side ratios

h = x, small side = x/2, other side = x(√3)/2

45-45-90 right triangle side ratios

h = x, other sides = x(√2)/2

reference angle

An acute angle formed at the origin made by the terminal side of an angle and the x-axis. (always positive)

which coordinate is sin

y

which coordinate is cos

x