Precalculus Examples

$v = 3 i - 4 j$

Step 1

Apply the direction angle formula $θ = \arctan (\frac{b}{a})$ where $a = 3$ and $b = - 4$ .

$θ = \arctan (- \frac{4}{3})$

Step 2

Solve for $θ$ .

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Step 2.1

Remove parentheses.

$θ = \arctan (- \frac{4}{3})$

Step 2.2

Evaluate $\arctan (- \frac{4}{3})$ .

$θ = - 0.92729521$