Question

Given the point (3, 4), which of the following shows that tanxcotx = 1?

Answer 1

Answer: Recall that for a point (x,y), the trigonometric ratio tangent and cotangent are defined as tanx=y/x and cotx=x/y.

Thus, for the given point we have,

tanx=4/3

cotx=3/4

Multiplying the above two equations, we get,

tanx·cotx=1