if ( p(x,y) ) is the point on the unit circle defined by real number ( \theta ), then ( csc\theta =…

if ( p(x,y) ) is the point on the unit circle defined by real number ( \theta ), then ( csc\theta = )____\na. ( \frac{x}{y} )\nb. ( \frac{1}{y} )\nc. ( \frac{y}{x} )\nd. ( \frac{1}{x} )

if ( p(x,y) ) is the point on the unit circle defined by real number ( \theta ), then ( csc\theta = )____\na. ( \frac{x}{y} )\nb. ( \frac{1}{y} )\nc. ( \frac{y}{x} )\nd. ( \frac{1}{x} )

Answer

Explanation:

Step1: Definir la función trigonométrica

Recuerda que (\csc\theta=\frac{1}{\sin\theta}).

Step2: Relación con el círculo unitario

En el círculo unitario, para un punto (P(x,y)), (\sin\theta = y).

Step3: Sustituir en la fórmula

Sustituyendo (\sin\theta = y) en (\csc\theta=\frac{1}{\sin\theta}), se obtiene (\csc\theta=\frac{1}{y}).

Answer:

B. (\frac{1}{y})