bubbles8245 bubbles8245
  • 26-02-2022
  • Mathematics
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Someone please answer it’s 50 points!!

Someone please answer its 50 points class=

Respuesta :

linandrew41
linandrew41 linandrew41
  • 26-02-2022

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]

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