Question

Write down the indicated trigonometric value and write as decimal and round to thousandths place

Answer 1

The trigonometric values for a right triangle can be obtained through the measurements of the different sides,

$\begin{gathered} sin(\theta)=\frac{op}{hyp} \\ cos(\theta)=\frac{ad}{hyp} \\ tan(\theta)=\frac{op}{ad} \end{gathered}$

this can be found in a triangle like this,

then, identify the measurements in the given triangle

then,

$\begin{gathered} sin(A)=\frac{10}{26}=\frac{5}{13} \\ cos(A)=\frac{24}{26}=\frac{12}{13} \\ tan(A)=\frac{10}{24}=\frac{5}{12} \end{gathered}$