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)=(op)/(hyp) \\ cos(\theta)=(ad)/(hyp) \\ tan(\theta)=(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)=(10)/(26)=(5)/(13) \\ cos(A)=(24)/(26)=(12)/(13) \\ tan(A)=(10)/(24)=(5)/(12) \end{gathered}`