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Trigonometry 6.1
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Gravity
Terms in this set (30)
measurement of triangles
What does trigonometry mean?
terminal side
What is the top line of the angle called?
initial side
What is the bottom line of the angle called?
coterminal
If an angle has the same initial and terminal side what are they called?
1/360
A measure of 1 ° = ______________of a complete revolution around the vertex.
x=s/r (measure of central angle x that intercepts an arc s = in length to radius r)
What is the definition of Radian?
multiply degrees by π rad/180
How do you convert degrees to radians?
multiply radians by 180/π rad
How do you convert radians to degrees?
s=r θ
How do you find arc length?( θ refers to central angle)
v = s/t
What is the formula for linear speed v?
ω=θ/t
What is the formula for angular speed?
sector
What is a region bounded by 2 radii of a circle?
π/6
Radian measure of 30?
π/4
Radian measure of 45?
π/3
Radian measure of 60?
π/2
Radian measure of 90?
2π/3
Radian measure of 120?
3π/4
Radian measure of 135?
5π/6
Radian measure of 150?
π
Radian measure of 180?
a)Convert mi/min. Find Circumference. Convert feet/min. Divide rate/ circumference to get revolutions/min. [728.3rev/min.]
b)Multiply revolutions/min by 2π to get angular speed.
[4576rad/min]
A car is moving at a rate of 65 miles per hour, and the diameter of its wheels is 2.5 feet.
a)Find number of revolutions per minute wheels rotate.
b)Find angular speed of the wheels in radians per minute.
a)multiply by 2π [32,627.6 rad/min]
b)Find circumference. Multiply by revs/min to get linear speed. Convert to feet/min. [9869.84ft/min]
A 7(1/4)inch circular power saw blade rotates at 5200 revolutions/min.
a)Find angular speed of the saw blade in rad/min.
b)Find linear speed(ft/min)of one of the 24 cutting teeth as they contact the wood being cut.
7π/6
Radian measure of 210?
5π/4
Radian measure of 225?
4π/3
Radian measure of 240?
3π/2
Radian measure of 270?
5π/3
Radian measure of 300?
7π/4
Radian measure of 315?
11π/6
Radian measure of 330?
2π
Radian measure of 360?
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