Question

Which expression is equivalent to sin 7pi/6?

A. sin pi/6
B. sin 5pi/6
C. sin 5pi/3
D. sin 11pi/6

Answer 1

D. sin 11pi/6

Explanation:

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

Answer 2

`\sin (11 \pi)/(6) \text { is equivalent to } \sin (7 \pi)/(6)`

Option: D

Explanation:

`\text { Given that, } \sin (7 \pi)/(6)`

To find the equivalent option,

`\text { We know that } \pi=180^(\circ)`

`\text { Take, sin } (7 \pi)/(6) \text { substitute the value of } \pi=180^(\circ) \text { then, }`

`\sin (7 * 180)/(6)`

`=\sin (1260)/(6)`

= sin 210

= -0.5

`\sin (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 (11 \pi)/(6)\left(\pi=180^(\circ)\right)`

`=\sin (11 * 180)/(6)`

`=\sin (1980)/(6)`

= sin 330

= -0.5

`\sin (11 \pi)/(6)=-0.5`

`\text { Therefore, } \sin (11 \pi)/(6)=\sin (7 \pi)/(6)`