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What is the simplest form of (1 + cosA)(cosecA - cotA)?
Expression : (1 + cosA)(cosecA - cotA)
= $$(1+cosA)(\frac{1}{sinA} - \frac{cosA}{sinA})$$
= $$(1+cosA)(\frac{1-cosA}{sinA})$$
= $$\frac{1-cos^2A}{sinA} = \frac{sin^2A}{sinA}$$
= $$sinA$$
=> Ans - (D)
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