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borishaifa [10]
3 years ago
10

How do I simplify this (sinx)/(secx+1)

Mathematics
1 answer:
pochemuha3 years ago
6 0

Answer:

Step-by-step explanation:

\frac{sin~x}{sec~x+1} =\frac{sin~x}{\frac{1}{cos~x}+1  } =\frac{sin~x~cos~x}{1+cos~x} \\=\frac{sin~x~cos~x}{1+cos~x} \times \frac{1-cos~x}{1-cos~x} \\=\frac{sin~x~cos~x(1-cos~x)}{1-cos^2 x} \\=\frac{sin~x~cos~x(1-cos~x)}{sin^2x} \\=\frac{cos~x(1-cos~x)}{sin~x} \\=cos ~x(csc~x-cot~x)\\or\\=cot~x(1-cos~x)

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Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is t
Ksju [112]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The equation representing the given statement is ~

  • 50x + 330 \geqslant 820

The least number of lawns that he can cut and buy the computer is 10 lawns ~

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

Total savings should be greater or equal to $ 820 in order to buy the computer,

And his total savinga is equal to ~

Money he saved + money got from cutting lawns.

let's assume the lawns cut by Tyrod be x,

Money earned by cutting lawns is equal to

  • total number of lawns cut × $50

  • 50x

total savings is equal to ~

  • 330 + 50x

hence,

  • 50x + 330 \geqslant 820

by solving for " x (number of lawns cut) " we get ~

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2 years ago
What is 0.57 x 1000<br> How do I solve this
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The length of the diagonal of the rectangle will be 14.142 units.

<h3>What exactly is a rectangle?</h3>

It has four sides and is a polygon. The internal angle total is 360 degrees. The opposing sides of a rectangle are parallel and equal, and each angle is 90 degrees.

Rectangle diagonals are equally equal and meet at the midpoint.

O is the circle's center, MNOP is its rectangle, and the circle's area is 100 in the diagram to the left.

Area of circle=πr²

100 π= πr²

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The length of the rectangle is equal to the radius of the circle is 10 units. The length of the diagonal is √2  times the side of the rectangle;

L=√2 R

L=1.414×10

L=14.14

Hence the length of the diagonal of the rectangle will be 14.142 units.

To learn more about the rectangle,  refer to the link brainly.com/question/13747846.

#SPJ1

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Epic, elegy, and ballad are three common forms of Anglo-Saxon literature, whereas lyric, novella, riddle, novel, and short story were created much later.
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