Question

Use the Pythagorean identity Sin^2θ + cos^2θ=1 to show that 1+cot^2θ=csc^2θ

Answer 1

to get a cotangent out of your original identity, divide everything by \(\sin^2(x)\) and you will get it in one step

Answer 2

sin^2θ + cos^2θ=1
___________________
sin^2(x)

Answer 3

sin^2 theta /sin^2 theta+cos^2 theta/sin^2 theta =1/sin^2 theta
1+cot^2 theta =cosec^2 theta