Expert solve this

Answer :

We find value of  tan 100$°$ +  4 Sin 100$°$ , As  :

= tan ( 90$°$ + 10$°$ )  +  4 Sin ( 90$°$ + 10$°$ )

= - Cot 10$°$  +  4 Cos 10$°$  ( As we know tan ( 90$°$ + A ) =  - Cot A and Sin ( 90$°$ + A ) =  Cos A )

=  - $\frac{1}{\tan 10°}$ + 4 Cos 10$°$  ( As we know Cot A  = $\frac{1}{\tan A}$ )

Now we substitute these values from this table :



Now we get

= - $\frac{1}{0.1763}$ + 4 $\times$0.9848

= - 5.6721 + 3.9392

= - 1.7329  ( Ans )