If sinA +cosecA =2 find value of sin square A +cosec square A
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Given,
sinA + cosecA = 2 .
Square on both sides,
(sinA + cosecA)² = 4
sin²A + cosec²A + 2(sinA)(cosecA) = 4
We know that sinA * cosecA = 1
sin²A + cosec²A= 4 - 2
sin²A + cosec²A = 2 .
Hope helped!
sinA + cosecA = 2 .
Square on both sides,
(sinA + cosecA)² = 4
sin²A + cosec²A + 2(sinA)(cosecA) = 4
We know that sinA * cosecA = 1
sin²A + cosec²A= 4 - 2
sin²A + cosec²A = 2 .
Hope helped!
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