sinA+cosecA=2 then sin²A+cosec²A=???? answer it with u r brain
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Step-by-step explanation:
sinA+cosecA=2
Squaring both sides-:
sin²A+cosec²A +2sinAcosecA = 4
sin²A+cosec²A = 4-2
sin²A+cosec²A = 2
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sinA + cosecA = 2
square both side
(sinA + cosecA)² = 2²
sin²A + cosec²A + 2 × sin A × cosec A = 4
sin²A + cosec²A + 2 × sin A × 1/sin A = 4 .....( cosec A = 1/ sin A)
sin²A + cosec²A = 4-2 = 2
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