Find the Linear Equations That Can Be Used to Convert $$\theta = \tan ^ { - 1 } \left( \frac { 4 } { 3 } \right)$$

question 26

Multiple Choice

Find the linear equations that can be used to convert an (x, y) equation to a (u, v) equation using the given angle of
rotation
- $$\theta = \tan ^ { - 1 } \left( \frac { 4 } { 3 } \right)$$

• A) \(x = \frac { 4 } { 5 } u - \frac { 3 } { 5 } v\)
• \(y = \frac { 3 } { 5 } u + \frac { 4 } { 5 } v\)
• B) \(\text { } \begin{aligned}
• x &=\frac{4}{3} u-\frac{4}{5} v \\
• y &=\frac{4}{5} u+\frac{4}{3} v
• \end{aligned}\)
• C) \( \)
• \[
• \begin{array}{l}
• x=\frac{3}{5} u-\frac{4}{5} v \\
• y=\frac{4}{5} u+\frac{3}{5} v
• \end{array}
• \]
• D) \(x = \frac { 5 } { 3 } u - \frac { 5 } { 4 } v\)
• \(y = \frac { 5 } { 4 } u + \frac { 5 } { 3 } v\)

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