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3 years ago

In the unit circle, the value of sine is the y-coordinate of the unit radius. What is the value of cosine?

Mathematics

2 answers:

Agata [3.3K]3 years ago

7 0

Cos is the x-coordinate of the unit circle

erik [133]3 years ago

6 0

Answer:

<h2>a. x-coordinate</h2>

Step-by-step explanation:

In the unit circle, the value of cosine is the x-coordinate of the unit radius.

In general, you must associate vertical axis with sine and horizontal axis with cosine. The reason of this is beacuse of trigonometric reasons, when we analyse the radius of the unit circle, we form a right triangle, where the opposite leg to the direction of the radius is Y and the adjacent leg is X. Now, remember that the sine function is opposite leg over hipothenuse, and cosine function is adjacent leg over hypothenuse, where the hypothenuse is the radius.

Therefore, the right answer is a. x-coordinate.

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What is the sum of all values of m that satisfy 2m (squared) -16m+8=0?

vodomira [7]

<h2>Steps:</h2>

So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

$2m^2-16m=-8$

Next, divide both sides by 2:

$m^2-8m=-4$

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:

-8 ÷ 2 = -4, (-4)² = 16

Add 16 to both sides of the equation:

$m^2-8m+16=12$

Next, factor the left side:

$(m-4)^2=12$

Next, square root both sides of the equation:

$m-4=\pm \sqrt{12}$

Next, add 4 to both sides of the equation:

$m=4\pm \sqrt{12}$

Now, while this is your answer, you can further simplify the radical using the product rule of radicals:

Product rule of radicals: √ab = √a × √b

√12 = √4 × √3 = 2√3.

$m=4\pm 2\sqrt{3}$

<h2>Answer:</h2>

In exact form, your answer is $m=4\pm \sqrt{12}\ \textsf{OR}\ m=4\pm 2\sqrt{3}$

In approximate form, your answers are (rounded to the hundreths) $m=7.46, 0.54$

6 0

3 years ago

What is the length of the diagonal of a square with a side that measures 11 centimeters

timofeeve [1]

A square has 4 equal sides
use pythagroeas theorem since a square has 4 right angles

a^2+b^2=c^2
a=b because the sides are equal (11)

11^2+11^2=c^2
242=c^2
square root both sides
11√2=c

the diagonal legnth is 11√2 centimiters

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3 years ago

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Troyanec [42]

Please refer the pictures below-

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3 years ago

4 1/2 +1 3/5 (in the simplest form)

snow_lady [41]

6 1/10

Step-by-step explanation:

4 + 1/2+1+3/5

5+1+1/10=6 1/10

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3 years ago

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Galina-37 [17]

Answer:

thats so easy

Step-by-step explanation:

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2 years ago