If tan theta=2/3,find theta?

1 Answer
Jun 25, 2018

theta approx 0.5880+npi: n in ZZ

Explanation:

tan theta=2/3

:. theta = arctan(2/3)

We can use a calculator to find the primary value of theta in [0,pi/2]

theta approx 0.5880

tan theta is also equal 2/3 for theta approx 0.5880 +npi: n in ZZ

We can visualise this from the graphic below showing the intersections between y=tanx and y=2/3

graph{(y-tanx)(y-0x-0.667)=0 [-7.024, 7.02, -3.51, 3.514]}