Question

Let x be an angle measure.Let c be the measure of the complement of the angle and let s be the measure of the supplement of the angle.Write equations for c as a function of x,and for s as a function of x.What is the domain of each function? What is the range of each function? Explain?

Answer 1

comlement is the angle that adds to 90
supplement is the one that adds to 180


x+c=90
x+s=180

solving for s and c
minus x frmo both sides in both equations
c=90-x
s=180-x

c(x)=90-x
s(x)=180-x

the domain has to be the numbers that make c(x) positive (assuming you haven't taken trig)
also, the angle cannot be negative
so x>0
solve for where it equal 0
for c(90) that is the zero and s(180) is the other zero

range is from 0 to the end


c(x)=90-x
domain is from 0 to 90
range is from 0 to 90

s(x)=180-x
the domain is from 0 to 180
range is from 0 to 180