Question

Tan 1.1 – tan 4.6/

Answer 1

The value of the given equation is –0.37458.

Solution:

Given equation is:

$\frac{\tan 1.1-\tan 4.6}{1+\tan 1.1 \tan 4.6}$

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.

$\frac{\tan 1.1-\tan 4.6}{1+\tan 1.1 \tan 4.6}$

            $=\frac{1.96475-8.86017}{1+1.96475 \times 8.86017}$

            $=\frac{-6.89542}{1+17.4080}$

            $=\frac{-6.89542}{18.4080}$

            = –0.37458

$\frac{\tan 1.1-\tan 4.6}{1+\tan 1.1 \tan 4.6}=-0.37458$

Hence the value of the given equation is –0.37458.