Precalculus Examples

$v = - 8 i + 5 j$

Step 1

Apply the direction angle formula $θ = \arctan (\frac{b}{a})$ where $a = - 8$ and $b = 5$ .

$θ = \arctan (\frac{5}{- 8})$

Step 2

Solve for $θ$ .

Tap for more steps...

Step 2.1

Remove parentheses.

$θ = \arctan (\frac{5}{- 8})$

Step 2.2

Simplify $\arctan (\frac{5}{- 8})$ .

Tap for more steps...

Step 2.2.1

Move the negative in front of the fraction.

$θ = \arctan (- \frac{5}{8})$

Step 2.2.2

Evaluate $\arctan (- \frac{5}{8})$ .

$θ = - 0.55859931$