II. Solve for the value of \( x \) using a scientific calculator and round of your answer to whole Uumber. \( \begin{array}{ll}\tan x=\frac{16}{21} \\ \text { SOLION: } \\ \tan x=\frac{16}{21} \\ x=\tan ^{-1}\left(\frac{16}{21}\right) & \rightarrow \text { dake the inverse of tan. This is usually labeled as tan } 16 \text { by } 21 \text { to get atan the decimal form } 0.7619\end{array} \) \[ \begin{array}{ll}x=\tan ^{-1}(0.7619) \rightarrow \text { type this on your scientfic calculator and round aff your answer to whole number } \\ \text { 1. } \cos x=\frac{4}{5} & \text { 14. } \sin x=\frac{12}{17}\end{array} \] \( \begin{array}{ll}\text { 2. } \sin x=\frac{2}{5} & \text { 15. } \tan x=\frac{13}{25} \\ \text { 3. } \tan x=\frac{7}{5} & \text { 16. } \cos x=\frac{8}{15}\end{array} \)

To solve for the value of \( x \) given the equation \( \tan x = \frac{16}{21} \), we will follow these steps: 1. **Use the inverse tangent function**: We need to find \( x \) by taking the inverse tangent (arctan) of \( \frac{16}{21} \). 2. **Calculate the value**: Use a scientific calculator to compute \( x = \tan^{-1}\left(\frac{16}{21}\right) \). 3. **Round the answer**: Finally, round the result to the nearest whole number. Let's perform the calculation for \( x \): \[ x = \tan^{-1}\left(\frac{16}{21}\right) \] Now, I will calculate this value. Calculate the value by following steps: - step0: Calculate: \(\arctan\left(\frac{16}{21}\right)\) The calculation gives us: \[ x = \tan^{-1}\left(\frac{16}{21}\right) \approx 0.651077 \] Now, we will round this value to the nearest whole number. Since \( 0.651077 \) is less than \( 1 \), rounding it gives us: \[ x \approx 1 \] Thus, the final answer is: \[ \boxed{1} \]