How do i find the solution for alpha in radians to : tan (alpha - 2) = 0.19 ?

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Answer 1 · 2017-08-03T10:50:24

#alpha = 2.19#

We have: #tan(alpha - 2) = 0.19#

Let the reference angle be #tan(alpha) = 0.19 Rightarrow alpha = 0.187761947#:

#Rightarrow arctan(tan(alpha - 2)) = arctan(0.19)#

#Rightarrow alpha - 2 = 0.187761947#

#Rightarrow alpha = 2 + 0.187761947#

#Rightarrow alpha = 2.187761947#

#therefore alpha approx 2.19#

Therefore, the solution to the equation #alpha = 2.19#.