Respuesta :

The answer is cot² ∅ - csc² ∅ = -1

Referring to Pythagorean identities: 
sin² ∅ + cos² ∅ = 1
1+cot² ∅ = csc² ∅
tan² ∅ + 1 = sec² ∅

1+cot² ∅ = csc² ∅  
⇒ transposing 1 and csc² ∅ we will have now
cot² ∅ - csc² ∅ = -1

The Pythagorean identities equation that is true is sin²θ - 1 = cos²θ

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The Pythagorean identities is given by:

sin²θ + cos²θ = 1

sin²θ - 1 = cos²θ

The Pythagorean identities equation that is true is sin²θ - 1 = cos²θ

Find out more on equation at: https://brainly.com/question/2972832