The value of the given equation is –0.37458.
Solution:
Given equation is:
[tex]$\frac{\tan 1.1-\tan 4.6}{1+\tan 1.1 \tan 4.6}[/tex]
Let us first find the values.
The value of tan 1.1 = 1.96475
The value of tan 4.6 = 8.86017
Substitute these values in the given equation.
[tex]$\frac{\tan 1.1-\tan 4.6}{1+\tan 1.1 \tan 4.6}[/tex]
[tex]$=\frac{1.96475-8.86017}{1+1.96475 \times 8.86017}[/tex]
[tex]$=\frac{-6.89542}{1+17.4080}[/tex]
[tex]$=\frac{-6.89542}{18.4080}[/tex]
= –0.37458
[tex]$\frac{\tan 1.1-\tan 4.6}{1+\tan 1.1 \tan 4.6}=-0.37458[/tex]
Hence the value of the given equation is –0.37458.
