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
Zina [86]
3 years ago
15

Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of si

n x° and cos y° share? A right triangle is shown with one leg measuring 8 and another leg measuring 6. The angle across from the leg measuring 6 is marked x degrees, and the angle across from the leg measuring 8 is marked y degrees.
Mathematics
2 answers:
natima [27]3 years ago
3 0

Answer:

sinx : cosy=1:1

Step-by-step explanation:

Download pdf
Genrish500 [490]3 years ago
3 0

Remember that for a triangle rectangle with known catheti (or legs) and with a known angle a, we have the relations.

cos(a) = (adjacent cathetus)/(hypotenuse)

sin(a) = (opposite cathetus)/(hypotenuse)

tan(a) = (opposite cathetus)/(adjacent cathetus)

We also know that the sum of the squares of the catheti is equal to the square of the hypotenuse.

Then if H is the measure of the hypotenuse, in this case we have:

H^2 = 6^2 + 8^2

H = √(36 + 64) = 10

H = 10

Now we can find sin(X) and cos(Y).

when we step on the angle X, the opposite cathetus is the one with a measure of 6 units, then we have:

sin(X) =  (opposite cathetus)/(hypotenuse) = 6/10

sin(X) = 6/10 = 3/5

Now, when we step on the angle Y, the adjacent cathetus is the one that measures 6.

cos(Y) =  (adjacent cathetus)/(hypotenuse) = 6/10

Cos(Y) = 6/10 = 3/5

So you can see that we got the exact same value for cos(Y) than for sin(X), so the ratios are equal.

This is trivial because the sum of all interior angles of a triangle is always 180°.

Then for all triangles with two internal angles X and Y, we have:

X + Y + 90°  =180°

X + Y = 90°

X = 90° - Y°

Then:

cos(X) = cos(90° - Y) = sin(Y)

You might be interested in
On a spinner, there are twenty equal-size sections numbered from 1 to 20. Which spinner game is fair? Show your work.
Anvisha [2.4K]

The spinner game is an illustration of probability, and the spinner game that is fair is (b) If you spin a number greater than 10, you win.

<h3>How to determine the fair game?</h3>

The number of sections in the spinner is given as:

n = 20

There are 10 numbers greater than 10 i.e. 11 to 2.

So, the probability that a number greater than 10 is spun is:

P = 10/20

P = 0.5

The probability that a number that is not greater than 10 is spun is calculated using the following complement rule

q = 1 - p

This gives

q = 1 - 0.5

Evaluate

q = 0.5

Notice that both probabilities are the equal

Hence, the spinner game that is fair is (b) If you spin a number greater than 10, you win.

Read more about probability at:

brainly.com/question/3581617

5 0
2 years ago
Find the coordinates of the missing endpoint given E is the midpoint of DF. F(5,8) E(4,3)
masha68 [24]

Answer:

(3,-2)

Step-by-step explanation:

Midpoints bisect a line into two perfectly congruent segments. So, you can find that f was translated down 5=(8-3) and left 1=(5-4). then repeat this step by subtracting x of point e by 1 and the y of point e by 5 to get (3,-2)

7 0
3 years ago
Read 2 more answers
Please please help !!!!!!!!
adoni [48]

Answer:

98°

142°

83°

97°

Step-by-step explanation:

m(arc)JL = 2 × 49° = 98°

m(arc)MJ = 360° - 120° - 98° = 142°

m<KJM = (120° + 46°)/2 = 83°

m<KLM = (360° - 120° - 46°)/2 = 97°

8 0
2 years ago
Whats $125.49 discounted 30%
givi [52]

Answer:

the final price is $87.84

3 0
3 years ago
Read 2 more answers
2 over 5 blank over 10  which is 0.4<br> in decimal form.
Tomtit [17]
2/5 = ?/10 = 0.4
2*(2/5) = (2*2)/(2*5) = 4/10
? = 4
8 0
3 years ago
Other questions:
  • Given f(x)= (x-5)/3, solve for f^-1(3)
    11·1 answer
  • Slope intercept and y intercept -3x+8y=-24
    11·1 answer
  • Use me for points why not
    12·2 answers
  • In a competition, two people will be selected from four finalists to receive the first and second prizes. The prize winners will
    7·1 answer
  • On Tuesday Conrad had 3 times as many sales as on Monday. On Wednesday, he had 9 times as many sales as on Monday. Over the thre
    7·1 answer
  • Please help Asap Let f(x) = x^2 and g(x) = 2x.
    5·1 answer
  • 45% of $80=$___<br><br> Pls help
    7·2 answers
  • Solve using the tangent formula(real answers only please)
    15·1 answer
  • Question
    12·1 answer
  • Find the area of a triangle whose sides are 5 m, 6 m and 9m,( use root 2 =-1.41 m)​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!