Student Name Class 121405 1 Change 297 radians to degree mea

Student Name: Class: 12/14/05 1. Change 2.97 radians to degree measure. Round to the nearest tenth [A] 534.60 Bl 170.2° [C] 153.2 [D1 9.3° 2. Change 90° to radian measure in terms of . 4 [B] 3 4 3. For a circle of radius 3 feet, find the arc length s subtended by a central angle of 24°. [A] s=-r feet 4 [B] s-T feet [C] s-T feet [D] s= 72n feet 4. For a circle of radius 6 feet, find the arc length s subtended by a central angle of 18°. [AJ s-- feet Advanced Mathematical Concepts Chapter 6: Graphs and Inverses of the Trigonometric Functions Form 1 Page 3

Solution

1. 2.97 rad

pi rad = 180 deg

so, 2.97 rad = {180/(pi)}*2.97 = 170.168 deg = 170.2 deg

Option B

2. 90 deg to radians

180 deg ---pi rad

90 deg ---- pi(/180)*90 = pi/2

Option D

3. radius = 3 feet and Angle subtended = 24deg

Arc length = {(pi*r)/180}*24

= pi*3*24/180

=2pi/5

Option C

23 . y = Arcsin(3x)

Relace x=y and y=x

x = Arcsin(3y)

sinx =3y

y= (1/3)sinx

Option A