Question

If 3 tan( x – 15 )= tan( x + 15 ); 0< x < 90, find the value of x if angles are measured in degrees. ​

Answer 1

3 tan(x-15)=tan (x+15)

x-15=tan^-1(tan(x+15))/3

x-15=x+15/3

3x-45=x+15

2x=60

x=30°