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3 years ago

I do not understand this question I am confused!

Mathematics

1 answer:

garri49 [273]3 years ago

3 0

H. 3
if you folded the shape on that line the points would not match up

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∫(cosx) / (sin²x) dx

kirza4 [7]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2822772

_______________

Evaluate the indefinite integral:

$\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx}\\\\\\
=\mathsf{\displaystyle\int\! \frac{1}{(sin\,x)^2}\cdot cos\,x\,dx\qquad\quad(i)}$

Make the following substitution:

$\mathsf{sin\,x=u\quad\Rightarrow\quad cos\,x\,dx=du}$

and then, the integral (i) becomes

$=\mathsf{\displaystyle\int\! \frac{1}{u^2}\,du}\\\\\\
=\mathsf{\displaystyle\int\! u^{-2}\,du}$

Integrate it by applying the power rule:

$\mathsf{=\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\
\mathsf{=\dfrac{u^{-1}}{-1}+C}\\\\\\
\mathsf{=-\,\dfrac{1}{u}+C}$

Now, substitute back for u = sin x, so the result is given in terms of x:

$\mathsf{=-\,\dfrac{1}{sin\,x}+C}\\\\\\
\mathsf{=-\,csc\,x+C}$

$\therefore~~\boxed{\begin{array}{c}\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx=-\,csc\,x+C} \end{array}}\qquad\quad\checkmark$

I hope this helps. =)

Tags: <em>indefinite integral substitution trigonometric trig function sine cosine cosecant sin cos csc differential integral calculus</em>

5 0

4 years ago

What time between 6pm and 6:30 pm the hour and minutes hands be exactly 125* degree apart

vladimir2022 [97]

Answer:

6:10pm

Step-by-step explanation:

At 6:00 the hands are 180° apart.

The hour hand moves 1/12 of circle per hour = 30° per hour = 0.5° per minute.

The minute hand moves 1/60 of the circle per minute = 6° per minute

Angle between the hands decreases by 6-0.5 = 5.5° per minute.

180 - 5.5t = 125

t = 125/5.5 = 10 minutes

The hands are 125° apart at t minutes after 6:00, or 6:10.

4 0

2 years ago

Please help me out, i can not understand this, i will give a brainliest out to whoever can help me

marishachu [46]

Answer:

So try 0-6

Step-by-step explanation:

6 0

3 years ago

The expression 62.4d-21062.4d−21062, point, 4, d, minus, 210 gives the number of Indian rupees you receive when you exchange \$d

Arisa [49]

<span>601.2 rupees You've been given the equation: r = 62.4d - 210 I will assume that 62.4 is the actual exchange rate and that the 210 is a service fee of some sort for performing the exchange. So with 13 dollars, let's substitute that value into the equation and calculate: r = 62.4d - 210 r = 62.4*13 - 210 r = 811.2 - 210 r = 601.2 So you'll get 601.2 rupees.</span>

8 0

4 years ago

Read 2 more answers

A rhombus has a base of 5.2 meters and a height of 4.5 meters. The rhombus is divided into two identical triangles. What is the

Lisa [10]

Answer:

11.7 m²

Step-by-step explanation:

What is the area of each triangle ?

A = b×h/2

= 5.2m×4.5m/2

= 23.4m²/2

= 11.7 m²

3 0

3 years ago