Question

Tan(theta)=40/58 How do u solve? How do u isolate theta? show work plz!

Answer 1

`\Large \boxed{\theta = 34.59228868\°}`

Explanation:

tan(θ) = 40/58

To isolate theta (unknown angle), we must take the inverse tangent of both the sides.

tan^-1(tan(θ)) = tan^-1(40/58)

The inverse tangent and tangent cancels.

Simplify the equation.

θ = tan^-1(20/29)

θ = 34.59228868°

Answer 2

34.60°

Explanation:

`\tan \theta = \frac {40}{58}`

`\tan \theta = 0.689655172`

`\theta =\tan^(-1) 0.689655172`

`\theta =34.592288671\degree`

`\theta =34.60\degree`