Mathematics, 21.10.2019 21:00 Blackhawk1881

Week 8 trigonometric ! me is a final grade for school!

Answers: 2

Show answers

Answers

Answer from: dee1334

Part 1) The six trigonometric functions in the procedure

Part 2) The six trigonometric functions in the procedure

Part 3) The six trigonometric functions in the procedure

Part 4) The value of x is $x=7\sqrt{2}\ units$ and the value of y is $y=7\ units$

Part 5) The value of x is $x=5\ units$ and the value of y is $y=5\sqrt{3}\ units$

Part 6) The value of x is $x=2\sqrt{3}\ units$ and the value of y is $y=\sqrt{3}\ units$

Part 7) $cos(27\°)=0.8910$

Part 8) $tan(5\°)=0.0875$

Part 9) $sin(48\°)=0.7431$

Part 10) $cot(81\°)=0.1584$

Part 11) $csc(23\°)=2.5593$

Part 12) $sec(66\°)=2.4586$

Part 13) $cot(13\°)=4.3315$

Part 14) $sin(32\°)=0.5299$

Step-by-step explanation:

Note The complete answers in the attached file

Part 1) In the right triangle of the figure find the hypotenuse

Applying Pythagoras theorem

$c^{2} =8^{2}+15^{2}\\c^{2}=289\\c=17\ units$

1) Find the $sin(\theta)$

$sin(\theta)=\frac{8}{17}$ ----> opposite side angle $\theta$ divided by the hypotenuse

2) Find the $cos(\theta)$

$cos(\theta)=\frac{15}{17}$ ----> adjacent side angle $\theta$ divided by the hypotenuse

3) Find the $tan(\theta)$

$tan(\theta)=\frac{8}{15}$ ----> opposite side angle $\theta$ divided by the adjacent side angle $\theta$

4) Find the $cot(\theta)$

$cot(\theta)=\frac{15}{8}$ ----> adjacent side angle $\theta$ divided by the opposite side angle $\theta$

5) Find the $sec(\theta)$

$sec(\theta)=\frac{1}{cos(\theta)}$

$sec(\theta)=\frac{17}{15}$ ----> hypotenuse divided by the adjacent side angle $\theta$

6) Find the $csc(\theta)$

$csc(\theta)=\frac{1}{sin(\theta)}$

$csc(\theta)=\frac{17}{8}$ ----> hypotenuse divided by the opposite side angle $\theta$

Part 2) In the right triangle of the figure find the adjacent side angle $\theta$

Applying Pythagoras theorem

$5^{2} =2^{2}+a^{2}\\ a^{2}=5^{2}-2^{2}\\a^{2}=21\\a=\sqrt{21}\ units$

1) Find the $sin(\theta)$

$sin(\theta)=\frac{2}{5}$ ----> opposite side angle $\theta$ divided by the hypotenuse

2) Find the $cos(\theta)$

$cos(\theta)=\frac{\sqrt{21}}{5}$ ----> adjacent side angle $\theta$ divided by the hypotenuse

3) Find the $tan(\theta)$

$tan(\theta)=\frac{2}{\sqrt{21}}$ ----> opposite side angle $\theta$ divided by the adjacent side angle $\theta$

4) Find the $cot(\theta)$

$cot(\theta)=\frac{\sqrt{21}}{2}$ ----> adjacent side angle $\theta$ divided by the opposite side angle $\theta$

5) Find the $sec(\theta)$

$sec(\theta)=\frac{1}{cos(\theta)}$

$sec(\theta)=\frac{5}{\sqrt{21}}$ ----> hypotenuse divided by the adjacent side angle $\theta$

6) Find the $csc(\theta)$

$csc(\theta)=\frac{1}{sin(\theta)}$

$csc(\theta)=\frac{5}{2}$ ----> hypotenuse divided by the opposite side angle $\theta$

Part 3) In the right triangle of the figure find the opposite side angle $\theta$

Applying Pythagoras theorem

$3^{2} =1^{2}+b^{2}\\ b^{2}=3^{2}-1^{2}\\b^{2}=8\\b=\sqrt{8}\ units$

1) Find the $sin(\theta)$

$sin(\theta)=\frac{\sqrt{8}}{3}$ ----> opposite side angle $\theta$ divided by the hypotenuse

2) Find the $cos(\theta)$

$cos(\theta)=\frac{\sqrt{1}}{3}$ ----> adjacent side angle $\theta$ divided by the hypotenuse

3) Find the $tan(\theta)$

$tan(\theta)=\frac{\sqrt{8}}{1}$ ----> opposite side angle $\theta$ divided by the adjacent side angle $\theta$

4) Find the $cot(\theta)$

$cot(\theta)=\frac{1}{\sqrt{8}}$ ----> adjacent side angle $\theta$ divided by the opposite side angle $\theta$

5) Find the $sec(\theta)$

$sec(\theta)=\frac{1}{cos(\theta)}$

$sec(\theta)=\frac{3}{1}$ ----> hypotenuse divided by the adjacent side angle $\theta$

6) Find the $csc(\theta)$

$csc(\theta)=\frac{1}{sin(\theta)}$

$csc(\theta)=\frac{3}{\sqrt{8}}$ ----> hypotenuse divided by the opposite side angle $\theta$

Part 4) In the right triangle of the figure

a) Find the value of x

we know that

$sin(45\°)=\frac{7}{x}$

$x=\frac{7}{sin(45\°)}$

Remember that

$sin(45\°)=\frac{\sqrt{2}}{2}$

substitute

$x=\frac{7}{\frac{\sqrt{2}}{2}}$

$x=\frac{14}{\sqrt{2}}$

$x=7\sqrt{2}\ units$

b) Find the value of y

The value of $y=7\ units$ ----> by triangle 45°-90°-45° measures

Note The complete answers in the attached file

Answer from: Quest

step-by-step explanation:

Answer from: Quest

a: 1/6, j: 1/4

step-by-step explanation: you are welcome

Another question on Mathematics

Mathematics, 21.06.2019 18:50

The trigonometric ratios sine and secant are reciprocals of each other

Answers: 2

Answer

Mathematics, 21.06.2019 19:30

Look at this pattern ; 1,4,9, number 10000 belongs in this pattern . what’s the place of this number?

Answers: 1

Answer

Mathematics, 21.06.2019 19:30

For what values of the variable x is the expression square root of 7x+14+ square root of 7-x a real number?

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

100 points? me its important ‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️

Answers: 1

Answer

You know the right answer?

Week 8 trigonometric ! me is a final grade for school!
...

Questions

Biology, 11.10.2020 22:01

Cells use a molecule called (DNA / RNA / ATP / CMP) to store and release energy like a battery. The energy is stored in chemical bonds between (nucleo...

Mathematics, 11.10.2020 22:01

Problem Problem Number 1 2 3 How many grams are in 2.3 kilograms? Recall that there are 1000 grams in a kilogram How many 85-cent nutrition bars can M...

Mathematics, 11.10.2020 22:01

5 What is 15 98 written as a mixed numbers...

Health, 11.10.2020 22:01

your friend are openly smoking and you have always fear of peer pressure to smoke how would you prevent the peer pressure...

History, 11.10.2020 22:01

Do you agree with Locke’s assertion that “The reason why men enter into society is the preservation of their property”? Explain your reasoning....

Mathematics, 11.10.2020 22:01

What can give you the height 623 ft...

Mathematics, 11.10.2020 22:01

100 points and brainliest Mira and Sasha observed two points, P and Q, on a number line.A number line is shown from negative 2 to positive 2 wi...

Health, 11.10.2020 22:01

My uncle said,"may god bless you"( into indirect speech)...

History, 11.10.2020 22:01

What was the progression of the Land Ordinance of 1785 that provided more structure to the development of the new territories? A. Northwest Ord...

History, 11.10.2020 22:01

What was ostracism in Ancient Athens? What was its purpose?...

History, 11.10.2020 22:01

How was slavery influenced racial issues that exist today?...

Mathematics, 11.10.2020 22:01

1. Find the common difference of an arithmetic sequence if the first term is 8 and the fourth term is -1. a4 = n = Find: Give...

History, 11.10.2020 22:01

What contributed to the growth of suburbs...

Social Studies, 11.10.2020 22:01

What is freedom for you?What makes you feel free?What makes you feel restrained?...

History, 11.10.2020 22:01

Confucianism is different from Hinduism, Christianity, and Islam because ... 1. It is a religion, but with no rules. 2.It is philosophy not a r...

English, 11.10.2020 22:01

Which strategy is best for the negative position to use to create a strong rebuttal against the affirmative position? explaining that the tax will no...

Law, 11.10.2020 22:01

McKibben, owner of a mining claim near Fairbanks, Alaska, signed a mining lease agreement with Mohawk Oil that provided that McKibben would receive 4...

English, 11.10.2020 22:01

Match the story detail to the person whose perspective it could be from. Rosa Edmund Sonny needs to hear about another boy who has a

History, 11.10.2020 22:01

It is considered as the golden age of a Capella music?...

Mathematics, 11.10.2020 22:01

Find the common difference of the arithmetic sequence -19,-16,-13,......

More questions: Mathematics Another questions