To simplify the expression sin(3π/2 - a) * tan(4π - a), we can use the following trigonometric identities:
sin(3π/2 - a) = -cos(a)
tan(4π - a) = tan(-a) = -tan(a)
Therefore, the expression simplifies to:
-sin(a) -tan(a) = sin(a) tan(a) = sin(a) * sin(a)/cos(a) = sin^2(a)/cos(a)
To simplify the expression sin(3π/2 - a) * tan(4π - a), we can use the following trigonometric identities:
sin(3π/2 - a) = -cos(a)
tan(4π - a) = tan(-a) = -tan(a)
Therefore, the expression simplifies to:
-sin(a) -tan(a) = sin(a) tan(a) = sin(a) * sin(a)/cos(a) = sin^2(a)/cos(a)