Question

Cual es el seno de π/ 4, coseno π/ 4, tangente π/ 4, cotangente π/ 4, secante π/ 4 y cosecante π/ 4

Answer 1

Respuesta:

Explicación paso a paso:

$\texttt{El \'angulo de 45 puede construirse a partir}\\\texttt{de </p><p>un tria\'angulo rect\'angulo is\'osceles }\\\texttt{cuyos lados miden 1 y la hipotenusa}\,\sqrt{2}\,\,\texttt{por lo tanto:}\\\\ \sin(\pi/4)=\sin(45^{\circ})=\frac{\texttt{Cateto opuesto}}{\texttt{Hipotenusa}}\dfrac{1}{\sqrt{2}}\\\\\cos(45^{\circ})=\frac{\texttt{Cateto adyacente}}{\texttt{Hipotenusa}}=\dfrac{1}{\sqrt{2}}\\\\\tan(45^{\circ})=\frac{\sin(45^{\circ})}{\cos(45^{\circ})}=1\\\\\cot(45^{\circ})=\frac{\cos(45^{\circ})}{\sin(45^{\circ})}=1\\\\\sec(45^{\circ})=\frac{\texttt{Hipotenusa}}{\texttt{Cateto adyacente}}=\frac{\sqrt{2}}{1}=\sqrt{2}\\\\\csc(45^{\circ})=\sqrt{2}$

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