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Opposite & Adjacent Sides in a Right Angled Triangle

Evaluate: A...

Question

Evaluate:
$(csc A - cot A) (csc A + cot A)$

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Solution

$(c o s e c A - cot A) (c o s e c A + cot A)$

$[∵ (a - b) (a + b) = a^{2} - b^{2}]$

$c o s e c^{2} A - {cot}^{2} A = 1$

[by identity].

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