Question

What is the value of sin 11pi/6?
A) √3/2
B)-√3/2
C)1/2
D)-1/2

Answer 1

The value of sin 11π/6 is -1/2, which corresponds to option D.

Step-by-step explanation:

The student is asking for the value of sin 11π/6. To find this, we can recognize that 11π/6 is the same as π - π/6, which is just 30 degrees short of a full circle (π radians is 180 degrees). Therefore, sin 11π/6 is the same as sin(-π/6). Because the sine function is odd, sin(-π/6) = -sin(π/6). Since sin(π/6) is 1/2, sin 11π/6 is -1/2.

Thus, using all the logics to extract the answer we get the value of sin 11π/6 is -1/2, which corresponds to option D.