Question

sinA/
1−cosA)−(1−cosA/sinA)=​

Answer 1

Answer: 2cotA

EXPLANATION:

$=\frac{sinA}{1-cosA} + \frac{cosA-1}{sinA} \\=\frac{1}{cosecA - cot A} + cotA - cosecA\\\\=\frac{cosecA + cotA}{cosec^{2}A - cot^{2}A} + cotA - cosecA\\\\=\frac{cosecA + cotA}{1} + cotA - cosecA\\\\=2 cotA$

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