1 pt Consider the following trig function k Maximum Minimunm

(1 pt) Consider the following trig function k Maximum Minimunm 66 sin(20r + 70 What is the maximum and minimum values of this function? Find an angle in 0, 10 es that this occurs Angles that this occurs

Solution

sin function has range from +1 to -1.

k(t) is maximum when sin(20x+/5) = -1

sin(20x+/5) = -1

20x+/5 = 3/2

20x =3/2 -/5

x= 13/200

maximum value is 66-70= -4 and at 13/200 angle it happens

k(t) is minimum when sin(20x+/5) = 1

sin(20x+/5) = 1

20x+/5 = /2

20x =/2 -/5

x= 3/200

minimum value is -66-70= -136 and at 3/200 angle it happens is minimum