All categories

3 years ago

Evaluate the trigonometric ratio

Mathematics

1 answer:

vfiekz [6]3 years ago

8 0

Answer:

Step-by-step explanation:

Given $\lim_{x \to 0} \frac{sinxcosx}{x}$

multiply the numerator and denominator with 2

we get $\lim_{x \to 0} \frac{2sinxcosx}{2x}$

We know that sin2x=2sinxcosx

$\lim_{x \to0} \frac{sin2x}{2x}$

Now consider y=2x

As x→0 2x→0 y→0

Now limit changes to

$\lim_{y \to0} \frac{siny}{y}$ =1

You might be interested in

-2 = -5t + 10t + 2t<br><br> t = ? <br> Help!

romanna [79]

Hello there!

$-2 = -5t + 10t + 2t\\$

Explanation:

↓↓↓↓↓↓↓↓↓

First you had to switch sides.

$-5t+10t+2t=-2$

Then you add similar elements.

$7t=-2$

Divide by 7 from both sides of the equation.

$\frac{7t}{7}=\frac{-2}{7}$

Simplify it should be the correct answer.

$t=-\frac{2}{7}$

Answer⇒⇒⇒⇒⇒t=-2/7

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

5 0

4 years ago

How many positive integers $n$ satisfy $127 \equiv 7 \pmod{n}$? $n=1$ is allowed.

Svetllana [295]

Naturally, any integer $n$ larger than 127 will return $127\equiv127\mod n$ , and of course $127\equiv0\mod127$ , so we restrict the possible solutions to $1\le n$ .

Now,

$127\equiv7\mod n$

is the same as saying there exists some integer $k$ such that

$127=nk+7$

We have

$\implies 120=nk$

which means that any $n$ that satisfies the modular equivalence must be a divisor of 120, of which there are 16: $\{1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120\}$ .

In the cases where the modulus is smaller than the remainder 7, we can see that the equivalence still holds. For instance,

$127=21\cdot6+1\iff127\equiv1\equiv7\mod6$

(If we're allowing $n=1$ , then I see no reason we shouldn't also allow 2, 3, 4, 5, 6.)

5 0

4 years ago

14 cm

allochka39001 [22]

Answer:

164

Step-by-step explanation:

You split figures into 2 separate rectangles

one will be 3cm to 22-14=8cm

another one will be 14cm to 10

So, you get separate areas and sum them

8*3=24

14*10=140

24+ 140= 164

4 0

3 years ago

At a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both t

NISA [10]

Answer:34

Step-by-step explanation:

Given

radio Price is 15 th highest i.e. there are 14 other items ahead of it

It is also given that it is 20 th lowest Price among the prices

i.e. there 19 other items below it therefore there are total

14+19+1=34 items in the garage sale

4 0

4 years ago

Match each expression to its simplified form

Rainbow [258]

(6r+7) + (13+7r) = 13r+20
(7r-3/2) - (2/3+6r) = r-13/6

6 0

4 years ago

Evaluate the trigonometric ratio​

Evaluate the trigonometric ratio