I-COSA
I+COSA
cosec- cat
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1−cosA
1+cosA
=
(1−cosA)(1+cosA)
(1+cosA)
2
=
sin
2
A
(1+cosA)
2
=
(cosecA+cotA)
2
=∣cosecA+cotA∣
=cosecA+cotA (as given)
let cosecA + cotA = x
so we get |x| = x
this is possible only when x ⩾ 0
so cosecA + cotA ⩾ 0
this means that sinA > 0
this is possible only in first and second quadrants
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