Question

an angle measures 5.8 radians and a circle is centered at the angles vertex. the x - coordinate of the terminal point is 0.89. what is the y - coordinate of the terminal point? y = get help: video preview submit

Explanation:

Step1: Recall the unit - circle relationship

For a point \((x,y)\) on the unit - circle corresponding to an angle \(\theta\), we have \(x = \cos\theta\) and \(y=\sin\theta\). Here, we assume the circle is a unit - circle (since the general form of the terminal point on the unit - circle is \((\cos\theta,\sin\theta)\)). Given \(\theta = 5.8\) radians and \(x = 0.89\).

Step2: Calculate \(y\) using the formula \(y=\sin\theta\)

We know that \(y=\sin(5.8)\). Using a calculator in radian mode, \(\sin(5.8)\approx - 0.46\)

Answer:

\(-0.46\)