Find an equation of the tangent line to the curve y=sin(3x)+cos(4x) at the point (π/6, y(π/

The derivative of y = sin(3x)+cos(4x) is obtained by following the rules of trigonometric properties. The derivative is y' = 3 cos 3x - 4 sin 4x. When we substitute x as pi/6, y' is -2√3.  we substitute to y-y1 = m ( x-x1) 

y - π/6 = -2√3* (x - π/6) 
y = -2√3 x + π/6*(1+2√3) = -2√3 x + 2.3374

C

Step-by-step explanation:

The answer is C because both of the equations have less than or equal to symbols. So, you would shade below both lines. The only place where the two lines mix shades is C.