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
andre [41]
3 years ago
14

Find the value of each trigonometric ratio

Mathematics
1 answer:
Orlov [11]3 years ago
4 0

The value of each trigonometric ratio is

$\sin A=\frac{15}{17}, \ \cos A=\frac{8}{17},  \ \tan A =\frac{15}{8}

$\csc A=\frac{17}{15}, \ \sec A=\frac{17}{8},  \ \cot A =\frac{8}{15}

Solution:

The given triangle is right triangle.

AC (hypotenuse) = 34, AB (adjacent) = 16, BC (opposite) = 30

<u>To find the trigonometric ratios:</u>

Using trigonometric formulas for right triangle,

$\sin \theta=\frac{\text { opposite }}{\text { hypotenuse }}

$\sin A=\frac{BC}{AC}

$\sin A=\frac{30}{34}=\frac{15}{17}

$\cos \theta=\frac{\text { adjacent }}{\text { hypotenuse }}

$\cos A=\frac{AB}{AC}

$\cos A=\frac{16}{34}=\frac{8}{17}

$\tan \theta=\frac{\text { opposite }}{\text { adjacent }}

$\tan A=\frac{BC}{AB}

$\tan A=\frac{30}{16}=\frac{15}{8}

$\csc A =\frac{1}{\sin A}

$\csc A =\frac{17}{15}

$\sec A =\frac{1}{\cos A}

$\sec A =\frac{17}{8}

$\cot A =\frac{1}{\tan A}

$\cot A =\frac{8}{15}

Hence the value of each trigonometric ratio is

$\sin A=\frac{15}{17}, \ \cos A=\frac{8}{17},  \ \tan A =\frac{15}{8}

$\csc A=\frac{17}{15}, \ \sec A=\frac{17}{8},  \ \cot A =\frac{8}{15}

You might be interested in
Which situation is best modeled by the inequality g ≤ 13?
Olin [163]

Answer:

You must be no older than 13 to play a game.

Step-by-step explanation:

≤ this sign means equal to or less than in this case it is 13

8 0
4 years ago
Helpppppppppppppppppppppppppppp
Dvinal [7]

20.25*3=60.75

4.50*2=9+4.00=13+3.50=16.5

All that added up is 77.25

100-77.25=22.75

You will get 22.75 back in change, sorry about the delay.

-TheOneandOnly003


8 0
3 years ago
What is the total cost of a $44.55 meal at a restaurant after including a 17% tip? SHOW WORK!
mrs_skeptik [129]

You can solve this in 2 easy steps: 1, multiply 44.55 by .17 (44.55 * .17 = 7.57) then adding the number you get to 44.55 (44.55 + 7.57 = 52.12). Your answer is D.

3 0
4 years ago
Read 2 more answers
Write an equation to represent the problem
kondor19780726 [428]
If she cuts the entire rope into pieces of 1/3 meters, she will have 15 pieces

You would take 5x3 and get 15 pieces.
15 x 1/3 = 5

Hopes this Helps! :)
8 0
3 years ago
Read 2 more answers
Rob's family ate 3 5/8 pizzas at a local restaurant. Each pizza weighs 1 1/4 kg. Which expression can be used to determine how m
aleksklad [387]

Answer:

b

Step-by-step explanation:

g

4 0
3 years ago
Other questions:
  • What is the correct description for the system of linear equations?
    6·1 answer
  • What is 545,846,229 to the nearest ten
    14·1 answer
  • Drag the numbers to order them from least to greatest
    7·1 answer
  • What numbers add to give you -19
    7·2 answers
  • Find Domain of function using Interval Notation
    10·1 answer
  • What is the number of pi you know like math
    9·2 answers
  • Someone plz help me with this plz plz plz​
    14·1 answer
  • Nadia is mountain climbing. She started at an altitude of 19.26 ft below sea level and then changed her altitude by climbing a t
    12·2 answers
  • What is 7,000,000,000 in scientific notation?
    9·1 answer
  • Find the solution of the system of equations.<br> −4x+5y= 13<br> x−5y=-22
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!