7 multiple choice 1 point find the exact value of $\\sin\\left(-\\frac{\\pi}{6}\\text{ radians}\\right)$…

7 multiple choice 1 point find the exact value of $\\sin\\left(-\\frac{\\pi}{6}\\text{ radians}\\right)$. $-\\frac{1}{2}$ $-\\frac{\\sqrt{2}}{2}$ $-1$ $-\\frac{\\sqrt{3}}{2}$

7 multiple choice 1 point find the exact value of $\\sin\\left(-\\frac{\\pi}{6}\\text{ radians}\\right)$. $-\\frac{1}{2}$ $-\\frac{\\sqrt{2}}{2}$ $-1$ $-\\frac{\\sqrt{3}}{2}$

Answer

Explanation:

Step1: Use the property of sine function

The sine function is an odd function, so (\sin(-x)=-\sin(x)). For (x = \frac{\pi}{6}), we have (\sin\left(-\frac{\pi}{6}\right)=-\sin\left(\frac{\pi}{6}\right)).

Step2: Recall the value of (\sin\left(\frac{\pi}{6}\right))

We know that (\sin\left(\frac{\pi}{6}\right)=\frac{1}{2}). Substituting this value into the equation from Step 1, we get (\sin\left(-\frac{\pi}{6}\right)=-\frac{1}{2}).

Answer:

(-\frac{1}{2})