3) Draw the 30-60-90 triangle and label the sides. Draw the 45-45-90 triangle and label the sides. Find the exact value of the following:
a) 2 sin⁡(-9π/4)
b) cos⁡(5π/3)
c) cos⁡(7π/6)
d) sin⁡(13π/6)
e) sin⁡(-7π/3)
f) cos⁡(3π/4)
g) -cos⁡(π)
h) 5 sin⁡(2π)

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is