(COSA + 1 - SinA) /
(COSA - 1 + SinA) is equal to
CosecA + CotA
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cosA−sinA+1cosA+sinA−1cosA−sinA+1cosA+sinA−1
=(cosA−sinA+1)(cosA+sinA+1)(cosA+sinA−1)(cosA+sinA+1)=(cosA−sinA+1)(cosA+sinA+1)(cosA+sinA−1)(cosA+sinA+1)
=(cosA+1¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯−sinA)(cosA+1¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯+sinA)(cosA+sinA¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯−1)(cos
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