Point on terminal side
Find the exact value of each of the six trig functions.
(-3, 4)
sin=4/5 csc=5/4
cos=-3/5 sec=-5/3
tan=-4/3 cot=-3/4
Use a coterminal angle to find the exact value of the expression. Do not use a calculator.
cos420
1/2
-240
60
Use the reference angle to find the exact value. Do not use a calculator.
tan 225
1
Find the exact value of each of the remaining trig functions.
cos=3/5, quadrant IV
sin=-4/5 csc=-5/4
cos=3/5 sec=5/3
tan=-4/3 cot=-3/4
Find the exact value of each of the six trig functions.
(5, -12)
sin=-12/13 csc=-13/12
cos=5/13 sec=13/5
tan=-12/5 cot=-5/12
Use a coterminal angle to find the exact value of the expression. Do not use a calculator.
sin 9pi/4
sqrt2/2
5pi/6
pi/6
Use the reference angle to find the exact value. Do not use a calculator.
cot (-pi/6)
-sqrt3
Find the exact value of each of the remaining trig functions.
sin=-2/3, 180<theta<270
sin=-2/3 csc=-3/2
cos=-sqrt5/3 sec=(-3sqrt5)/5
tan=(2sqrt5)/5 cot=sqrt5/2
Find the exact value of each of the six trig functions.
(sqrt3/2, 1/2)
sin=1/2 csc=2
cos=sqrt3/2 sec=2sqrt3/3
tan=sqrt3/3 cot=sqrt3
Use a coterminal angle to find the exact value of the expression. Do not use a calculator.
csc 9pi/2
19pi/6
pi/6
Use the reference angle to find the exact value. Do not use a calculator.
sec (-3pi)
-1
Find the exact value of each of the remaining trig functions.
cot=-2, sec>0
sin=-sqrt5/5 csc=-sqrt5
cos=(2sqrt5)/5 sec=sqrt5/2
tan=-1/2 cot=-2
Name the quadrant.
csc>0, cot<0
II
Name the quadrant.
sin<0, cot>0
III
From the table...
tan (pi/6) or tan 30
sqrt3/3
From the table...
sec (pi/3) or sec 60
2
From the table...
cos (pi/4) or cos 45