Question

find theta. tan (theta + π/3)​

Answer 1

Step-by-step explanation:

The given equation can be written as

tanx+

1−tanxtan

3

π

tanx+tan

3

π

+

1−tanxtan

3

2π

tanx+tan

3

2π

=3

⇒tanx+

1−

3

tanx

tanx+

3

+

1+

3

tanx

tanx−

3

=3

⇒tanx+

1−3tan

2

x

8tanx

=3

⇒ tanx(1−3tan^2x)+8tanx/ 1−3tan^2x =3

⇒3(3tanx−tan ^ 3x) /1−3tan^2 x =3

⇒3tan3x=3⇒tan3x=1

⇒3tan3x=3⇒tan3x=1

⇒3x=nπ+ π/4 ⇒x= nn/3 + π/12