We need to see the graph in order to solve this problem
Answer:PIE IS IRRATIONAL BECAUSE IT IS THE RATIO OF LENGTH OF CIRCUMFERENCE TO LENGTH OF DIAMETER OF CIRCLE. HENCE IT IS NEVER IN THE FORM OF INTEGER UPON INTEGER SO THIS RATIO OF LENGTH OF CIRCUMFERENCE TO LENGTH OF DIAMETER THAT IS PIE IS NOT RATIONAL SO IT IS IRRATIONAL.
Step-by-step explanation:
[tan(y) + cot (y)]/csc (y)
tan (y) = sin (y)/cos (y)
cot (y) = cos (y)/sin (y)
csc (y) = 1/sin (y).
Now rewrite the expression with the equivalent values
[sin (y)/cos (y) + cos (y)/sin (y) ] / [1/sin (y)]
1st, let's work the Numerator only = [sin (y)/cos (y) + cos (y)].
= [(cos² (y) + sin² (y)]/ [cos (y).sin(y)]
or (cos² (y) + sin² (y) = 1, →Numerator = 1/[cos (y).sin(y)]
Denominator = csc (y) = [1/sin (y)], Then:
N/D = 1/[cos (y).sin(y)] / [1/sin (y)] = [1 x sin (y)]/ [cos (y).sin (y)] = 1/cos (y)
Or 1/cos (y) = sec (y) Q.E.D
