Como encontro o valor de csc330?

Responda:

${csc 330}^{\circ} = - 2$ $csc330^@=-2$

Explicação:

$using the trigonometric identity$ $"using the "color(blue)"trigonometric identity"$

$∙ x csc x = \frac{1}{sin x}$ $•color(white)(x)cscx=1/sinx$

$\Rightarrow {csc 330}^{\circ} = \frac{1}{{sin 330}^{\circ}}$ $rArrcsc330^@=1/sin330^@$

${sin 330}^{\circ} = - {sin (360 - 330)}^{\circ} = - {sin 30}^{\circ} = - \frac{1}{2}$ $sin330^@=-sin(360-330)^@=-sin30^@=-1/2$

$\Rightarrow {csc 330}^{\circ} = \frac{1}{- \frac{1}{2}} = - 2$ $rArrcsc330^@=1/(-1/2)=-2$