Trig Values 1
cos30
sqrt3/2
On a unit circle the x-coordinates represent which trig function?
cosine
Name the nearest positive and negative coterminal angle for 375 degrees
15 and -345 degrees
What is the period of sine and cosine?
2pi
Convert to radians:
230 degrees
23pi/18
sin 3pi/2
-1
On a unit circle the y-coordinates represent which trig function?
sine
Name the nearest positive and negative coterminal angles for 13pi/6
pi/6 and -11pi/6
What is the period of tangent?
pi
Convert to degrees:
15pi/8
337.5 degrees
tan 11pi/6
-sqrt3/3
On a unit circle the slope of the hypotenuse is equal to which trig function?
Tangent
The acute angle between the terminal side and the x-axis is called _______
reference angle
Find the amplitude:
y = -2sin(3x)
2
Find the arc length:
Angle= 135 degrees
Radius=4
3pi
sec 5pi/3
2
tan 7pi/6
sqrt3/3
A negative angle rotates in what direction?
clockwise
Find the period
-2sin(3x)
2/3 pi
Find the sector area:
Radius=6
Angle= pi/3
84.823
cot (pi/6)
(tan (5pi/3))(cos (7pi/6))
sqrt3/2
Find all six trig ratios of a triangle where csc=10/8
sin=8/10 csc=10/8
cos=6/10 sec=10/6
tan=8/6 cot=6/8
find all transformations
-3sin(x/2) + 5
amplitude of 3
reflect over x-axis
period of 4pi
vertical shift up 5
Find the central angle if its arc length is 14pi and its radius is 18.
Round to the nearest thousandth
2.443 radians