Matematik
trigonometri
If the tangent of an angle is negative and its secant is positive, in which quadrant does the angle terminate?
a) 4
b) 2
c) 3
d) 1
A ramp is pulled out of the back of a truck. There is a 38 degree angle between the ramp and the pavement. If the distance from the end of the ramp to the back of the truck is 10 feet, how long is the ramp?
a) 10.69 Ft
b) 14.69 Ft
c) 12.69 Ft
d) 8.69 Ft
What is the measure of the angel in radians when the radius is 5 and the arc length is 4?
a) 4/5
b) 4pi/5
c) 5/4
d) 5pi/4
Svar #1
11. marts 2014 af mathon
1
secans(x) = sec(x) = ---------
cos(x)
sec(x) > 0 ⇔ cos(x) > 0 ⇔ 0 < x < (π/2) v (3π/2) < x < 2π
tan(x) < 0 ⇔ (π/2) < x < π v (3π/2) < x < 2π
vinklens venstre ben ligger derfor i 4. kvadrant.
Svar #2
11. marts 2014 af mathon
På en tegning ser du:
ramp • cos(38°) = (10 feet)
ramp = (10 feet) / cos(38°) = 12,69 feet
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