Evaluate a trigonometric ratio

Requested ratio

\(\displaystyle \sin 48^{\circ}\)

Which calculator setting and key match this request?

Move the angle slider below and above its starting position. Compare how the three values change

As the angle increases across the slider range, what happens?

From an angle to a ratio

The calculator supplies the ratio for the angle. Sine and cosine of an acute angle are between zero and one. Tangent can be greater than one

1. 1Use degree mode Check the angle setting before entering a degree measurement
2. 2Use the named key Enter the angle with sine, cosine or tangent as requested. The result is a ratio, so it has no degree symbol
3. 3Round at the end Keep the calculator value until the requested final answer \(\displaystyle \begin{aligned}\sin 52^{\circ}&=0.7880107536\ldots\\\sin 52^{\circ}&\approx0.7880\end{aligned}\)

Angle

\(\displaystyle 36.4^{\circ}\)

Evaluate sine in degree mode. Give the answer to four decimal places

Angle

\(\displaystyle 48^{\circ}\)

Evaluate cosine in degree mode. Give the answer to four decimal places

Angle

\(\displaystyle 58^{\circ}\)

Evaluate tangent in degree mode. Give the answer to four decimal places

A student used degree mode. What explains the incorrect result?