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

Evaluate the trigonometric ratio​

Evaluate the trigonometric ratio class=

Respuesta :

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

Answer Link

Otras preguntas

1/2 x 3/4 in simplest form
Is 3/8 equivalent to 3/8
What is the main idea of poverty?
potassium, k, has an atomic number of 19 and an atomic mass of 39 how many electrons does a neutral atom of K have?
in which of the following cell structures are the Drosophila choromosomes located
The density of lead is 11.3 g/mL . The water level in a graduated cylinder initially at 206 mL rises to 287 mL after a piece of lead is submerged. What is th
An item is regularly priced at $20 . Leila bought it at a discount of 60% off the regular price. How much did Leila pay?
Angela uses 2/3 cups of strawberries to make 5/6 of a liter of smoothie. What is the unit rate in cups of strawberries per liter of smoothie? 1. 5/9 cups per li
what is 4 1/2 - 3 5/12 in a mixed number in lowest terms??
life and times during the revolutionary war