Question

use your calculator to find the angle, to the nearest hundredth of a degree, whose sine value is 1. options: 0.33°, 70.53°, 19.47°, 0.34°

Explanation:

Step1: Recall inverse - sine function

We know that if $\sin\theta = x$, then $\theta=\sin^{- 1}(x)$. Here $x = \frac{1}{3}$.

Step2: Use calculator

Using a scientific calculator in degree - mode, we calculate $\theta=\sin^{-1}(\frac{1}{3})$. $\sin^{-1}(\frac{1}{3})\approx19.47^{\circ}$

Answer:

$19.47^{\circ}$