Question

Halle y
y = sen(x-30) + cos(x-60) + tan(x-45)

Si no saben no respondan

Answer 1

Respuesta:

$=\frac{\sqrt{3}}{2}\sin \left(x\right)-\frac{1}{2}\cos \left(x\right)+\cos \left(x-60^{\circ \:}\right)+\tan \left(x-45^{\circ \:}\right)\\\\=\frac{\sqrt{3}}{2}\sin \left(x\right)-\frac{1}{2}\cos \left(x\right)+\frac{1}{2}\cos \left(x\right)+\frac{\sqrt{3}}{2}\sin \left(x\right)+\tan \left(x-45^{\circ \:}\right)\\\\\sqrt{3}\sin \left(x\right)+\frac{\sin \left(x\right)-\cos \left(x\right)}{\cos \left(x\right)+\sin \left(x\right)}$

Explicación paso a paso:

$=\frac{\sqrt{3}}{2}\sin \left(x\right)-\frac{1}{2}\cos \left(x\right)+\frac{1}{2}\cos \left(x\right)+\frac{\sqrt{3}}{2}\sin \left(x\right)+\frac{\sin \left(x\right)-\cos \left(x\right)}{\cos \left(x\right)+\sin \left(x\right)}$

$RTA= \sqrt{3}\sin \left(x\right)+\frac{\sin \left(x\right)-\cos \left(x\right)}{\cos \left(x\right)+\sin \left(x\right)}$