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Iteru [2.4K]
3 years ago
10

What is trigonometry?

Mathematics
2 answers:
Gala2k [10]3 years ago
8 0

Trigonometry is greek for <em>triangle measurement</em>.

Three of the most basic ideas in trigonometry are the <em>sine</em>, <em>cosine</em>, and <em>tangent ratios</em>. The sine, cosine, and tangent ratios can be defined as follows.

I have attached right triangle ABC in the image attached.

In right triangle ABC, the sine of angle A is equal to the ratio of the length of the side opposite angle A to the length of the hypotenuse. So in right triangle ABC, the sine of angle A equals y over z. The abbreviation we use for sine is <u>sin</u>.

Next, the cosine of angle A is equal to the ratio of the length of the side adjacent to angle A to the length of the hypotenuse. So in right triangle ABC, the cosine of angle A equals x over z. The abbreviation we use for cosine is <u>cos</u>.

Finally, the tangent of angle A is equal to the ratio of the length of the side opposite angle A to the length of the side adjacent to angle A. So in right triangle ABC, the tangent of angle A equals y over x. The abbreviation we use for tangent is <u>tan</u>.

An easy way to remember the sine, cosine, and tangent ratios is to use the word SOH-CAH-TOA.

<em>Sine is opposite over hypotenuse, cosine is adjacent over hypotenuse, and tangent is opposite over adjacent.</em>

dusya [7]3 years ago
5 0

Trigonometry is the study of traingles. It is the geometry of traingles only, where you learn about sines, cosines, and tangents. It comes in high school. Hope this helps :)

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The volume of a sphere is calculated through the equation,
  
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If the radius is 2.86, we can substitute the value to the equation above such that,
         V = 4π(2.86)³ / 3 = 97.99π m³

When the radius is 0.09 m plus the given radius then,
       V = 4π(2.86 - 0.09)³ / 3 = 89.03π m³

The difference between the volumes is equal to,
       difference = 97.99π - 89.03π m³ = 8.96π m³

Dividing this to the original volume and multiplying by 100%,
    percentage = (8.96π/97.99π) x 100% 
    percentage = 9.14%.

Hence, the expected percent uncertainty is equal to 9.14%. 
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2 years ago
Step 1: -3(+ 2) = 5(x - 7)
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Answer:

The answer is Steps 1 and 2.                                Step 1: -3(x+2) = 5(x-7)

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Step-by-step explanation:

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ValentinkaMS [17]
The answer is :
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Write the series using summation notation.<br><br> 4 + 8 + 12 + 16 + 20+ . . . + 80
zhannawk [14.2K]

Answer:

\sum ^{20} _{n \to \11} 4n

Step-by-step explanation:

In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;

4, 8, 12, 16, 20...80

The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d

a is the first term = 4

d is the common difference = 21-8 = 8-4 = 4

n is the number of terms

On substituting, Tn = 4+(n-1)4

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The nth term of the series is 4n.

Since the last term is 80, L = 4n

80 = 4n

n = 80/4

n = 20

This shows that the total number of terms in the sequence is 20

According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;

4 + 8 + 12 + 16 + 20+ . . . + 80  = \sum ^{20} _{n \to \11} 4n

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