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Felice · Answer 1 · 2018-06-28T17:11:42+0000

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

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