Question

solve for x.
\\( \tan ( x ) = \frac { 6 } { 8 } \\)
\\( x = \\) ?
hint: use the inverse
tangent function \\( ( \tan ^ { - 1 } ( \frac { 6 } { 8 } ) ) \\).
round to the nearest hundredth.

Explanation:

Step1: Apply inverse tangent function

Given \(\tan(x)=\frac{6}{8}\), then \(x = \tan^{-1}(\frac{6}{8})\).

Step2: Calculate the value

\(\frac{6}{8}=0.75\), and \(x=\tan^{-1}(0.75)\). Using a calculator, \(x\approx36.87^{\circ}\)

Answer:

\(36.87\)