Question

reduce= tanx.cosx.senx​

Answer 1

Respuesta:

$\boxed{\mathbf{\tan(x)*\cos(x)*\sin(x)=\sin^{2}(x)}}$

Explicación paso a paso:

Sabemos que:

$\tan(x)=\frac{\sin(x)}{\cos(x)}$

Usando lo.anterior; la expresion nos queda:

$\tan(x)*\cos(x)*\sin(x)=\frac{\sin(x)}{\cos(x)}*\cos(x)*\sin(x)=\frac{\sin(x)*\cos(x)*\sin(x)}{\cos(x)}=\\\\=\sin(x)*\sin(x)=\sin^{2}(x)$