Question

Which expression is equivalent to sin 7pi/6?

Answer 1

Answer:

$\sin \frac{11 \pi}{6} \text { is equivalent to } \sin \frac{7 \pi}{6}$

Option: D

Step-by-step explanation:

$\text { Given that, } \sin \frac{7 \pi}{6}$

To find the equivalent option,

$\text { We know that } \pi=180^{\circ}$

$\text { Take, sin } \frac{7 \pi}{6} \text { substitute the value of } \pi=180^{\circ} \text { then, }$

$\sin \frac{7 \times 180}{6}$

$=\sin \frac{1260}{6}$

= sin 210

= -0.5

$\sin \frac{7 \pi}{6}=-0.5$

Now, check for all the options, select the option which is equal to -0.5.

Check for option: D  

$\sin \frac{11 \pi}{6}\left(\pi=180^{\circ}\right)$

$=\sin \frac{11 \times 180}{6}$

$=\sin \frac{1980}{6}$

= sin 330

= -0.5

$\sin \frac{11 \pi}{6}=-0.5$

$\text { Therefore, } \sin \frac{11 \pi}{6}=\sin \frac{7 \pi}{6}$

Answer 2

Answer:

D. sin 11pi/6

Step-by-step explanation:

this is correct on ed-genuity, hope this helps! :)