what does (csc(α) − 1)(csc(α) + 1) equal?
cot^2(α).
Here's why.
(csc(α) - 1) (csc(α) + 1)
As a product of conjugates, this becomes a difference of squares.
csc^2(α) - 1
And we have an identity that this is equal to
cot^2(α)
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Verified answer
cot^2(α).
Here's why.
(csc(α) - 1) (csc(α) + 1)
As a product of conjugates, this becomes a difference of squares.
csc^2(α) - 1
And we have an identity that this is equal to
cot^2(α)