What is the simplified value of (cosec A + sin A)(cosec A - sin A)?
Expression : $$(cosecA+sinA)(cosecA-sinA)$$
= $$(\frac{1}{sinA}+sinA)(\frac{1}{sinA}-sinA)$$
= $$(\frac{1+sin^2A}{sinA})(\frac{1-sin^2A}{sinA})$$
= $$\frac{(1+sin^2A)(cos^2A)}{sin^2A}$$
= $$\frac{cos^2A}{sin^2A}+cos^2A$$
=Â $$cot^2A + cos^2A$$
=> Ans - (A)
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