Solve tana=4/3 - ScanMath

Evaluate

tan (a) = \frac{4}{3}

Find the domain

tan (a) = \frac{4}{3}, a \neq = \frac{π}{2} + kπ, k \in Z

Use the inverse trigonometric function

a = arctan (\frac{4}{3})

Add the period of kπ, k \in Z to find all solutions

a = arctan (\frac{4}{3}) + kπ, k \in Z

Check if the solution is in the defined range

a = arctan (\frac{4}{3}) + kπ, k \in Z, a \neq = \frac{π}{2} + kπ, k \in Z

Solution

a = arctan (\frac{4}{3}) + kπ, k \in Z

Alternative Form

a \approx 53.13010 2^{\circ} + 18 0^{\circ} k, k \in Z

Alternative Form

a \approx 0.927295 + kπ, k \in Z

Solve the equation