root sin square theta of 1 + cot square theta is equal to
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Reciprocal identities
sin θ = 1
csc θ csc θ = 1
sin θ
cos θ = 1
sec θ sec θ = 1
cos θ
tan θ = 1
cot θ cot θ = 1
tan θ
Proof
Again, in calculation we may replace either member of the identity with the other. And so if we see "sin θ", then we may, if we wish, replace
it with " 1
csc θ "; and, symmetrically, if we see " 1
csc θ ",
then we may replace it with "sin θ".
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