Match each function with Its double-angle formula. (a) sin(2u) 1-2sin^2(u) 2sin(u)cos(u) (2tan(u))/(1-tan^2)(u) (b) cos(2u) 1-2sin^2(u) 2sin(u)cos(u) (2tan(u))/(1-tan^2)(u) (c) tan(2u) 1-2sin^2(u) 2sin(u)cos(u) (2tan(u))/(1-tan^2)(u)

Let's match each function with its corresponding double-angle formula:<br /><br />(a) $sin(2u)$<br />- The correct double-angle formula for $sin(2u)$ is $2sin(u)cos(u)$.<br /><br />(b) $cos(2u)$<br />- The correct double-angle formula for $cos(2u)$ is $1-2sin^{2}(u)$.<br /><br />(c) $tan(2u)$<br />- The correct double-angle formula for $tan(2u)$ is $\frac {2tan(u)}{1-tan^{2}(.<br /><br />So, the correct matches are:<br />(a) $sin(2u)$ matches with $2sin(u)cos(u)$.<br />(b) $cos(2u)$ matches with $1-2sin^{2}(u)$.<br />(c) $tan(2u)$ matches with $\frac {2tan(u)}{1-tan^{2}(u