Question

What is the value of tan(alpha+vita)

Answer 1

tan (α + β) = sin(α+β)cos(α+β)sin(α+β)cos(α+β)

= sinαcosβ+cosαsinβcosαcosβ−sinαsinβsinαcosβ+cosαsinβcosαcosβ−sinαsinβ

= sinαcosβcosαcosβ+cosαsinβcosαcosβcosαcosβcosαcosβ−sinαsinβcosαcosβsinαcosβcosαcosβ+cosαsinβcosαcosβcosαcosβcosαcosβ−sinαsinβcosαcosβ, [dividing numerator and denominator by cos α cos β]

= tanα+tanβ1−tanαtanβtanα+tanβ1−tanαtanβ Proved

Therefore, tan (α + β) = tanα+tanβ1−tanαtanβ

Answer 2

hey !!!

here is ur answer :

Tan ( @+ bita ) = tan@+ tanbita / 1-tan@×tanbita .

hope it helps !!.

#Rajukumar111