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2 years ago

Gives BRAINLIEST

Mathematics

1 answer:

iren [92.7K]2 years ago

7 0

The answer is X=0 I’m thinking

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Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec

expeople1 [14]

Answer:

$cot x = \frac{cos x}{sin x}$

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

$cos x cot x + sin x$

We know from math properties that the definition for cot is $cot x = \frac{cos x}{sin x}$

If we use this definition we got:

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

Now we can use the following identity:

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

4 0

3 years ago

Write the equation of the line that passes through (0,5) and is perpendicular to the line x = 3.

Alona [7]

Answer:

(0,5)x3=(15,5)

Step-by-step explanation:

3 0

2 years ago

What is the missing constant term in the perfect square that starts with x2 – 16x?

andre [41]

Answer:

Step-by-step explanation:

the expression is

x² - 16x + _

the constant term is the square of the number residing with x divided by 2

the number number x = 16

therefore the constant term is (16/ 2)²

= 8²

= 64

the formula being used here is

(x + a)² = x² + 2ax + a²

4 0

3 years ago

A ship travels 10 miles from Point A to Point B, makes a turn of 112, and travels 16 miles to Point C. If the ship travels direc

marin [14]

This is Pythagorean's Theorem, with one leg being 10 and the hypotenuse being 16. Using those values in the theorem looks like this:
$10^{2} + b^{2} = 16^{2}$
and $100+ b^{2} =256$
and $b^{2} =256-100$
so $b^{2} =156$
Take the square root of both sides to find that b = 12.5

8 0

3 years ago

A middle school has 600 students and 34% of them are in the 8th grade. One-fourth of 8th graders walk to school. How many 8th gr

Kaylis [27]

600 * .34 = 204 are in 8th grade

204 * 1/4 = 51 51 8th graders walk to school

5 0

2 years ago

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