1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valentina_108 [34]
3 years ago
8

Evaluate each trigonometric equation for θ.

Mathematics
1 answer:
liberstina [14]3 years ago
4 0

Answer:

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

Step-by-step explanation:

Let us revise the trigonometry functions

  • Sin(x) = opposite/hypotenuse
  • Cos(x) = adjacent/hypoteouse
  • Tan(x) = opposite/adjacent
  • Csc(x) = hypotenuse/opposit
  • Sec(x) = hypotenues/adjacent
  • Cot(x) = adjacent/opposite

In the given figure

The opposite side to angle Ф = 8

The adjacent side to angle Ф = 15

Find the hypotenuse using Pythagoras' theorem

Hypotenuse = \sqrt{8^{2}+15^{2}  }

Hypotenuse = \sqrt{64+225}

Hypotenuse = \sqrt{289}

Hypotenuse = 17

Let us use the rules above to find the trigonometry functions

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

You might be interested in
Please help!!<br> Find the volume of the sphere
Komok [63]

Answer:

Hi , your answer is V = 4/3 πr³.

Hope this helps

4 0
2 years ago
2+2 ..................................needed 20 characters
Sloan [31]

Answer:

plese mark me brainlist

Step-by-step explanation:

thankyou and have nice day

7 0
3 years ago
Read 2 more answers
During a recent election ,53 of every 100 registered voters in certain city voted. If there were 113.100 registered voters in th
Ivanshal [37]
By the rule of 3 simple:
53/100 = x/113100
x = 53*113100/100 = 59943
8 0
3 years ago
Amber borrows $5,000 from the bank. If she repays the loan in 5 years, the annual interest rate is 8%, compounded annually. Howe
Svetllana [295]

Answer:

The answer is (B) $1,307

Step-by-step explanation:

First you would plug the $5000, 5 Years and 8% Interest(Compound) into your Formula - A=P(1+r)t

A=5000(1+.08)5

Which the interest is $2346.64

<u>__      _________________________________________________</u>

Next you would plug $5000, 3 Years and 6.5% Interest(Compound) Into your Formula - A=P(1=r)t

A=5000(1+.065)3

Which the future value is $1039.75

<u>__       _________________________________________________</u>

Finally you would subtract $2346.64 by $1039.75 and then round the difference to the nearest dollar.      

8 0
3 years ago
9 is 12 percent of what number? ( show your work)
Rasek [7]
For this question, we want to find out what 9 / 12 equals as a percent or x / 100. Therefore, we have a proportion here and can say: 9/12 = x/100 Now, at this point, we can cross multiply to get: 900 = 12x Now, divide both sides by 12 to get x alone and find that: x = 75 <==== FINAL ANSWER
so 9 is 12% of 75!
I hope that helps you out! Please let me know if you have any other questions!
3 0
3 years ago
Other questions:
  • In Biology class, Ji-yoon is viewing cells with a microscope. Cell F
    6·1 answer
  • Juan reads a book with 368 pages. savannah reads a book with 172 fewer pages than juan's book. how many pages are in the book sa
    12·2 answers
  • 5/2x-3 is this a monomial, binomial, or trinomial
    13·1 answer
  • A hotel manager believes that 27% of the hotel rooms are booked. If the manager is correct, what is the probability that the pro
    6·1 answer
  • Horizontal lines are always perpendicular to _________ lines.
    11·1 answer
  • Choose the expression that best represents the product of the width and the height
    8·1 answer
  • manny says that if the expression was 12 divided 3^2 you would divide before simplifying 3^2, Is he right? Explain Please Answer
    12·1 answer
  • Ini bagaimana ya caranya<br> Bantu caranya
    9·1 answer
  • Can someone find the points/coordinates of this graph?
    5·1 answer
  • Hi, I need help with this question.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!