Question

If tan 3x =sin 45 degree cos 45 degree + sin 30 degree, find the value of x

Answer 1

Step-by-step explanation:

tan3x=sin45×cos45 + sin30

= 1/√2 × 1/√2 + 1/2

=1/2+ 1/2

= 1

tan3x = tanπ/4

For finding general solution for, tanx=tany:-

x= nπ + y

On comparing,

3x=nπ + π/4

x=nπ/3 + π/12