Solution
$$(cosecA+cotA+1)(cosecA-cotA+1)-2cosecA$$
= $$(cosecA + 1)^2 - (cotA)^2 - 2cosecA$$
($$\because a^2 - b^2 = (a + b)(a - b)$$)
= $$cosec^2A + 1 + 2cosecA - cot^2A - 2cosecA$$
($$cosec^2A - cot^2A = 1)
= 1 + 1 = 2
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
