if sinA + cosec A = 2 then sin^3A+cosec^3A =?
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Answer:
Explanation:
Given Equation is Sina + coseca = 2.
On cubing both sides, we get
(Sina + coseca)^3 = (2)^3
sin^3a + cosec^3a + 3 * sina * coseca(Sin a + coseca) = 8
sin^3a + cosec^3a + 3 * sina * 1/sina(sina + coseca) = 8
sin^3a + cosec^3a + 3 * 1(2) = 8
sin^3a + cosec^3a + 6 = 8
sin^3a + cosec^3a = 8 - 6
sin^3a + cosec^3a = 2.
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