Question

If the point (3/5,4/5) corresponds to an angle 0 in the unit circle, what is csc θ?

A. 4/5
B. 4/3
C. 3/4
D. 5/3
E. 5/4

Answer 1

E. 5/4

Explanation:

Answer 2

suppose the two points are two side of a triangle and a right angle 0
cosider hypotenuse is z and two sides are x and y
using Pythagorean theorem
z^2=x^2+y^2
z^2=(3/5)^2+(4/5)^2
z^2=9/25+16/25
z^2=9+16/25
z^2=25/25
z^2=1
taking square root on both sides
z=1
now sinθ=4/5/1=4/5
while cscθ=1/sinθ=5/4
hence cscθ=5/4
right option is E. 5/4