Answer:
Step-by-step explanation:
To find the tangent line, we must first find the slope of it which can only be found by finding the derivative of the equation:
[tex]\frac{d}{dx} (3sin(x)) = 3cos(x)\\[/tex]
The slope at x = 5pi/4 is [tex]\frac{-\sqrt{2} }{2}[/tex]
The point is ([tex](\frac{5\pi }{4} , \frac{-\sqrt{2} }{2}[/tex])
The point-slope form is
[tex]y+\frac{\sqrt{2} }{2} = \frac{-\sqrt{2} }{2} (x-\frac{5\pi }{4} )[/tex]
