Label each of the following statements as true or false If f

Label each of the following statements as true or false. If false, replace the underlined word(s) to produce a true statement. An arc length on the unit circle equals the radian measure of the central angle that intercepts it. 11. Any degree measure can be converted to radians by multiplying the number by pi/180. 12. The restricted domain for the inverse sine function is the same as the restricted domain for the inverse cosine function. The arc length intercepted by a central angle of in a circle of radius l

Solution

10. True . Arc length = the radian measure of a central angle* radius =  the radian measure of a central angle*1

=the radian measure of a central angle,

11. True .

Any degree can be converted into radians:

180 deg --- pi rad

x deg ---- (pi/180)*x rad

12. True .

Domain of sin^-1(x) is [-1, 1]

Domain of cos^-1(x) is [ -1 , 1]

13. Arc length for angle pi/3 and radius is 2x =[ (2pi*2x)/2pi]pi/3

= [2x*pi/3]

Arc length for angle pi/3 and radius is x = [ (2pi*x)/2pi]pi/3

=x*pi/3

It is two times

False