Answer:
It is an identity, the proof is in the explanation
Step-by-step explanation:
csc(A)-cot(A)=tan(A/2)
I'm going to start with right hand side
tan(A/2)=(1-cos(a))/(sin(a)) half angle identity
tan(A/2)=1/sin(a)-cos(a)/sin(a) separate fraction
tan(A/2)=csc(a)-cot(a) reciprocal and quotient identities
Domain is all real numbers.
Range is all real numbers geater than 0
Answer:
b
Step-by-step explanation:
In y=mx+b form, the b is the y-intercept, therefore where the line crosses the y-axis on the graph. In this graph, the line crosses the y-axis at 100. This means that the "b" value is 100. So far, our equation is y=mx+100.
Next, to find m, you go to any other point on the graph and see how much units (rise over run) you went to get there. I picked the point (2,150), You can see that it took me 1 unit up and 2 units to the right to get to that point, leading us to believe the slope is 1/2.
Finally, put everything together and you get the answer of y=1/2x+100 (the letters do not matter) :)