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Trigonometry

Trigonometry is a field of mathematics. It is the study of triangles. Trigonometry includes planar trigonometry, spherical trigonometry, finding unknown values in triangles, trigonometric functions, and trigonometric function graphs.

3,810 Questions

You are given that triangle mnp triangle xyz line mp equals 8cm line xz equals 12cm the perimeter of triangle xyz equals 80cm what would be the perimeter of triangle mnp?

It is necessary to mention that the two triangles are similar.

Let the perimeter of the triangle MNP be x cm.

Since the triangles XYZ and MNP are similar triangles,

8/12 = x/80 (multiply both sides by 80)
640/12 = x
53.3333... = x
53 3/9 = x
53 1/3 = x

Thus, the perimeter of the triangle MNP is 53 1/3 cm.

Is the cosine sine and tangent of an angle equal to each other?

No; those could be three different values, or sometimes two of them might be the same. For example, if the angle is 45 degrees, the values are about...

cos:0.707

sin: 0.707

tan: 1

For 45 degrees, the cosine and sine are the same. For 36 degrees,

cos:0.809

sin: 0.588

tan: .727

Where did the word Phoenix come from?

(taken from wikipedia)

The Greeks adapted the word bennu and identified it with their own word phoenix φοινιξ, meaning the colour purple-red or crimson. They came up with the word Phoenicia.

(added)

The Phoenicians traded a purple-red dye of the same name. The people were named for the dye that they traded.

and it also is a Persian myth .. which they call it ققنوس .

What is function and relation?

All functions are relations with the condition that each element of the domain is paired with only one element of the range. A relation is any pairing of numbers from the domain to the range.

Which two trigonometric functions are used for analyzing vectors?

You usually need all three primary functions.

The sine and cosine functions are used to resolve the vector along orthogonal axes, and the tangent function is used to find its direction.

How do you draw a perfect circle?

Get a cup or bottle somethig round orrr... you can stick a hole in the middle with a thumbtack in it with string on the thubtack conected to the pen (or pencil) and go around:)

What is the cosine of 10?

The cosine of 10 degrees is 0.9848, approximately. The cosine of 10 radians is roughly -0.8391

What is the new URL for netives marbles?

The site is down for the moment. It happens a lot.

Can someone verify that sec4 theta-sec2 theta equals tan4 theta plus tan2 theta?

sec4(Θ) - sec2(Θ) = tan4(Θ) + tan2(Θ)

Factor each side: sec2(Θ) [sec2(Θ) - 1] = tan2(Θ) [tan2(Θ) + 1]

Use the identitiy: 1 + tan2(Θ) = sec2(Θ)

We can also write it as: tan2(Θ) = sec2(Θ) - 1

Substitute the first form of the identity in the right side: sec2(Θ) [sec2(Θ) - 1] = tan2(Θ) sec2(Θ)

Substitute the second form of the identity in the left side: sec2(Θ) tan2(Θ) = tan2(Θ) sec2(Θ)

Is that close enough for you ?

Is it worth a trust point ?

Cos 5t cos 3t -square root 3 2 - sin 5t cos 3t?

The answer to the math question Cos 5t cos 3t -square root 3 2 - sin 5t cos 3t equals 0. In order to find this answer you will have to find out what each letter is.

What is exact value sin480degrees?

sin 480° is equal to sin 60°, which is sqrt(3)/2 or approximately 0.866.

How do you find the radius of a sphere that has a ratio of 1 to 2 for volume and surface area?

Surface area of sphere is 4 x pi x r x r

Volume of sphere is (4/3) x pi x r x r x r

Hence ((4/3) x pi x r x r x r) / (4 x pi x r x r) = 1/2

((4/3) x r) / (4) = 1/2

(1/3) x r = 1/2

r = 1 and 1/2