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a,b belongs to R satisfy (sin(b))^7 = |a^3 - a^2 - 9a + 9| + |a^3 - a^2 - 4

a,b belongs to R satisfy (sin(b))^7 = |a^3 - a^2 - 9a + 9| + |a^3 - a^2 - 4a + 4| + (sec(2b))^2 + (cos(b))^4 then number of ordered pairs (a,b) where a,b belongs to [0,4π] satisfying the above equation is

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