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Question
If sin A + cosec A = 2;
Find the value of sin2 A + cosec2 A.
Solution
sin A + cosec A = 2
Squaring both sides
(sin A + cosecA)2 = 22
sin2 A + cosec2 A + 2sin A . cosecA = 4
sin2 A + cosec2A + 2sin A. `1/sin "A"` = 4
sin2 A + cosec2 A = 2
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