1. SIX TRIGNOMETRIC RATIOS
SIN
COS
TAN
SIN = SINE
COS = COSINE
TAN = TANGENT
COT = COTANGENT
SEC = SECANT
CSC = COSECANT
OSCAR
AND
OSWALD
HAVE
HAD
ALGEBRA
CSC
SEC
COT
•A = ADJACENT
O= OPPOSITE
H = HYPOTENUSE

2. (x,y) r y
sin =
tan =
sec =
cos =
cot =
csc = x

3. Signs of Trigonometric Functions
Quad. II
Quad. I
sin & csc +
sin & csc +
cos & sec -
cos & sec +
tan & cot -
tan & cot +
sin & csc -
sin & csc -
cos & sec -
cos & sec +
tan & cot +
tan & cot -
Quad. III
Quad. IV

4. SOH CAH TOA B c a A C b SIN = COS = TAN = Sin A = Sin b =
Cos a = cos b =
Tan a = tan b =
Cot a = cot b =
Sec a = sec b =
Csc a = csc b = B c a A C b

5. cos = sin = cot = tan = csc = sec =
Ex. Find the values of the 6 trig functions of an angle
In standard position if the given point lies on the
Terminal side: (-1, 5)
Draw a picture. Use Pythagorean Theorem
to find The missing side (r=hypotenuse)
(-1,5)
2. Set up the 6 trig ratios.
cos =
cot =
csc =
sin =
tan =
sec =