We know that sin^2 Θ+ cos^2 Θ = 1. Divide both sides of the equation by sin^2Θ and simplify to find another Pythagorean Identity.

Question

Can I also have an example problem for practice?

Answer 1

dividing by sin²θ both sides of equation

cot²θ+1=csc²θ

example: when is √(cot²θ+1)=2/√3

same as cscθ=2/√3,,,,sinθ=(√3)/2,,,,θ=(π/3)+2πk or θ=(2π/3)+2πk,,,,k=0,+/-1,+/-2,...

and indeed √(cot²(π/3)+1)=2/√3

Answer 2