Trig Identities Flashcards
1
Q
sin(theta)
A
opp/hyp = 1/csc(theta) = y/r
2
Q
cos(theta)
A
adj/hyp = 1/sec(theta) = x/r
3
Q
tan(theta)
A
opp/adj = sin(theta)/cos(theta) = y/x
4
Q
csc(theta)
A
1/sin(theta) = 1/(y/r) = 1/(opp/hyp)
4
Q
sec(theta)
A
1/(adj/hyp) = 1/cos(theta) = 1/(x/r)
5
Q
cot(theta)
A
cos(theta)/sin(theta) = (x/r)/(y/r) = (adj/hyp)/(opp/hyp)
6
Q
Pythagorean Theorem
A
sin^2(theta) + cos^2(theta) = 1
7
Q
Pythagorean Theorem (tan)
A
tan^2(theta) + 1 = sec^2(theta)
8
Q
Pythagorean Theorem (cot)
A
cot^2(theta) + 1 = csc^2(theta)
9
Q
arcsinx = theta
A
sin(theta) = x
10
Q
arccosx = theta
A
cos(theta) = x
11
Q
arctanx = theta
A
tan(theta) = x
12
Q
arccscx = theta
A
csc(theta) = x
13
Q
arcsecx = theta
A
sec(theta) = x
14
Q
arccotx = theta
A
cot(theta) = x
