Tan(3x/7 - π/5)= -√3/3

x is 7·π/30

Step-by-step explanation:

The given equation is presented as follows;

tan(3·x/7 - π/5) = (-√3)/3

We have that arctan (√3)/3 = π/6, and tangent of an angle is negative in the second quadrant, we get;

arctan (-√3)/3 = -π/6 = 5·π/6

∴ tan(-π/6) = -√3/3 = tan(3·x/7 - π/5)

-π/6 = 3·x/7 - π/5

x = (-π/6 + π/5) × 7/3 = (6·π - 5·π)/30 × 7/3 = π/30 × 7/3 = 7·π/30

x = 7·π/30

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

207/8 is the right