Question

Tan B = .34 find angle B in radians. Round your answer to the nearest hundredth.

Answer 1

ArcTan (.34) = 18.778 degrees
Multiply 18.778 by pi/180 = .33

Answer 2

0.33 radians.

Explanation:

We have been given an equation
`\text{tan}(B)=0.34`. We are asked to find the measure of angle B is radians.

First of all, we will find measure of angle B using inverse tangent or arctan as:

`B=\text{tan}^(-1)(0.34)`

`B=18.778033222446^(\circ)`

Now, we will convert our answer in radians by multiplying 18.778033222446 by
`(\pi)/(180^(\circ))` as:

`B=18.778033222446^(\circ)*(\pi)/(180^(\circ))`

`B=18.778033222446*(\pi)/(180)`

`B=0.10432240679*\pi`

`B=0.32773850678`

`B\approx 0.33`

Therefore, the measure of angle B is 0.33 radians.