If sinA + cosA=2 find value of sin square A+ cosec square A
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sinA + cosecA = 2
Squaring on both sides
(sinA + cosecA)² = 2²
sin^2A + cosec^2A + 2 sinA cosecA = 4
sin^2A + cosec^2A = 4 - 2 sinAcosecA
WKT cosec A = 1/sinA
sin^2A + cosec^2A = 4 -2
∴ sin^2A + cosec^2A = 2
Squaring on both sides
(sinA + cosecA)² = 2²
sin^2A + cosec^2A + 2 sinA cosecA = 4
sin^2A + cosec^2A = 4 - 2 sinAcosecA
WKT cosec A = 1/sinA
sin^2A + cosec^2A = 4 -2
∴ sin^2A + cosec^2A = 2
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