jadeynnewton
jadeynnewton jadeynnewton
  • 03-11-2019
  • Mathematics
contestada

Evaluate the trigonometric ratio​

Evaluate the trigonometric ratio class=

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SouthernRider
SouthernRider SouthernRider
  • 07-11-2019

Answer:

1

Step-by-step explanation:

Given [tex]\lim_{x \to 0} \frac{sinxcosx}{x}[/tex]

multiply the numerator and denominator with 2

we get [tex]\lim_{x \to 0} \frac{2sinxcosx}{2x}[/tex]

We know that sin2x=2sinxcosx

[tex]\lim_{x \to0} \frac{sin2x}{2x}[/tex]

Now consider y=2x

As x→0 2x→0 y→0

Now limit changes to

[tex]\lim_{y \to0} \frac{siny}{y}[/tex]=1

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