Question

in triangle ABC , angle C is a right angle . find the value of the trig function . find cos A if b=14 and c=14√2 . round answer to the nearest ten-thousandths .

Answer 1

Given : a right angle triangle ABC

Angle C is the right angle

`\begin{gathered} b=14 \\ c=14\sqrt[]{2} \end{gathered}`
`\begin{gathered} \cos A=(adjacent)/(hypotenuse) \\ \\ \cos A=(b)/(c)=\frac{14}{14\sqrt[]{2}}=\frac{1}{\sqrt[]{2}} \\ \\ A=\cos ^(-1)(\frac{1}{\sqrt[]{2}})=45 \end{gathered}`