Find the values of $\sin \theta$ and $\tan \theta$ If the point $( - 3,4 )$Is on the terminal side of $\theta$

A) $\sin \theta = \frac { 3 } { 5 }$
, $\tan \theta = - \frac { 4 } { 3 }$

B) $\sin \theta = \frac { 4 } { 5 }$
, $\tan \theta = - \frac { 3 } { 4 }$

C) $\sin \theta = - \frac { 3 } { 5 }$
, $\tan \theta = - \frac { 4 } { 3 }$

D) $\sin \theta = \frac { 4 } { 5 }$
, $\tan \theta = - \frac { 4 } { 3 }$

E) $\sin \theta = \frac { 4 } { 5 }$
, $\tan \theta = - \frac { 5 } { 3 }$

Question

Find the values of $\sin \theta$ and $\tan \theta$ If the point $( - 3,4 )$Is on the terminal side of $\theta$

A) $\sin \theta = \frac { 3 } { 5 }$
, $\tan \theta = - \frac { 4 } { 3 }$

B) $\sin \theta = \frac { 4 } { 5 }$
, $\tan \theta = - \frac { 3 } { 4 }$

C) $\sin \theta = - \frac { 3 } { 5 }$
, $\tan \theta = - \frac { 4 } { 3 }$

D) $\sin \theta = \frac { 4 } { 5 }$
, $\tan \theta = - \frac { 4 } { 3 }$

E) $\sin \theta = \frac { 4 } { 5 }$
, $\tan \theta = - \frac { 5 } { 3 }$

Quizplus · Accepted Answer

The point (-3, 4) gives a hypotenuse of 5 using the Pythagorean theorem. Thus, $\sin \theta = \frac{4}{5}$ and $\tan \theta = \frac{4}{-3} = -\frac{4}{3}$.

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Find the Values Of $\sin \theta$ And $\tan \theta$ If the Point $( - 3,4 )$