Answer:
sin²θ
Explanation:
To determine what we need to divide
by to yield
, compare equations:
If we divide a term by itself, it will always yield 1.
Therefore, divide each term in the first equation by sin²θ:
Use the trigonometric identities for cot and cosec:
Thus proving that sin²θ + cos²θ = 1 should be divided by sin²θ to yield
1 + cot²θ = csc²θ.