Question

use the figure to find the terminal point determined by the real number t, with coordinates rounded to one decimal place.
t = 2.3
(x, y) = ()

Explanation:

Step1: Recall the formula for terminal points on the unit circle

For a unit circle \(x = \cos t\) and \(y=\sin t\)

Step2: Calculate \(x\) - coordinate

When \(t = 2.3\), \(x=\cos(2.3)\)
Using a calculator, \(\cos(2.3)\approx - 0.6\)

Step3: Calculate \(y\) - coordinate

When \(t = 2.3\), \(y = \sin(2.3)\)
Using a calculator, \(\sin(2.3)\approx0.8\)

Answer:

\((-0.6,0.8)\)