Question

Simplificar: [ Sen3x/Senx ] - 1

Answer 1

Respuesta:

Simplificar: [ Sen3x/Senx ] - 1

Explicación paso a paso:

$\left(\frac{\sin \left(3x\right)}{\sin \left(x\right)}\right)-1\\\\=\frac{\sin \left(3x\right)}{\sin \left(x\right)}-1\\\\=\sin \left(3x\right)\csc \left(x\right)-1\\\\=3-4\sin ^2\left(x\right)-1\\\\=-4\sin ^2\left(x\right)+3-1\\\\=-4\sin ^2\left(x\right)+2\\\\=\left(1-2\sin ^2\left(x\right)\right)\cdot \:2\\\\2\cos \left(2x\right)$