Trigonometic Functions Flashcards
(22 cards)
cos(t) = ?
X
sin(t) = ?
Y
tan(t) = ?
Y/X
sec(t) = ?
1/X
csc(t) = ?
1/Y
cot(t) = ?
X/Y
Domain: sin, cos
All real.
Domain: tan, sec
All real; except: pi/2+n(pi)
Domain: cot, csc
All real; except n(pi)
Positive functions in Q1?
All.
Positive functions in Q2?
sin, csc
Positive functions in Q3?
tan, cot
Positive functions in Q4?
cos, sec
The six trigonometric functions are?
Sine, Cosine
Secant, Cosecant
Tangent, Cotangent
The even functions?
Cosine, Secant
The odd functions?
Sine, Cosecant, Tangent, Cotangent.
Reciprocal: csc(t)
1 / sin (t)
Reciprocal: sec(t)
1 / cos(t)
Reciprocal: cot(t)
1 / tan(t)
Reciprocal: tan(t)
sin(t) / cos(t)
Reciprocal: cot(t)
cos(t) / sin(t)
Pythagorean Identities
sin(t)* + cos(t)* = 1
tan(t)* + 1 = sec(t)*
1 + cot(t)* = csc(t)*
* ^2