Video Transcript
Find the value of sin of negative 𝜋 over six.
In this question, our angle is given in radians. And we recall that 𝜋 radians is equal to 180 degrees. Dividing through by six, we see that 𝜋 over six radians is equal to 30 degrees, and this means that negative 𝜋 over six radians is equal to negative 30 degrees. We therefore need to find the value of sin of negative 30 degrees.
Next, we recall that the sine function is an odd function, such that the sin of negative 𝜃 is equal to negative sin 𝜃. This means that the sin of negative 30 degrees is equal to negative sin 30 degrees. We know that 30 degrees is one of our special angles, and the sin of 30 degrees is equal to one-half. The sin of negative 30 degrees is therefore equal to negative one-half.
And we can therefore conclude that the sin of negative 𝜋 over six radians is equal to negative one-half.
