What is the sine value of 7pi/6 a. - sqrt 3 over 2 b. sqrt 3 over 2 c. - 1/2 d. 1/2

C. -1/2

Step-by-step explanation:

7π/6 radians is equivalent to (7π/6)(180°/π) = 210°, a 3rd-quadrant angle whose reference angle is 30°. The sine of angles in the 3rd quadrant is negative.

sin(30°) = 1/2

sin(210°) = -sin(30°) = -1/2

In radians mode, your calculator can tell you this result directly.

C -

sin(7π / 6 )

note 7π\6 is in the third quadrant where sin is negative

the related acute angle to 7π/6 is 7π/6 - π = π/6

sin (7π/6) = - sin(π/6) = -

if im not mistaking its

step-by-step explanation: