Question

if sinA +cosecA =2 then find the value of sin^3 A + cosec^3 A

Answer 1

hope it helps u mate

Answer 2

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.


Hope this helps!