if sinA+cosecA=2 then find out.the value of sin^2A + cosec^2A
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Answered by
158
Given
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
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
Answered by
14
Answer:
Given
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
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