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
Soloha48 [4]
3 years ago
13

Given that sinx=3/5 where x is an acute angle for cosx

Mathematics
1 answer:
mestny [16]3 years ago
4 0
The correct question is
Given that sinx=3/5 where x is an acute angle, what is cosx and tanx<span>?

we  know that

</span>since x is acute   0<x<<span>π/2
</span><span>then the trigonometric rations will be positive</span>

sin ²x+cos²x=1------------> cos²x=1-sin²x------->  cos²x=1-(3/5)²----> 1-(9/25)
cos²x=16/25----------> cos x=4/5

the answer part A) is 
cos x=4/5

tan x=sin x/cos x
so
tan x=(3/5)/(4/5)---------> tan x=3/4

the answer part B) is 
tan x=3/4
You might be interested in
Y=2+ square root of x-8 solve for x
gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

y = 2√(x-8)

y² = 4(x-8) = 4x-32

4x = y²+32

x = 0.25y² +8

5 0
3 years ago
Karen will divide her garden into equal parts. She will plant corn in 8/12 of the garden. What is the lowest number of parts she
Ronch [10]

Answer:

  3 parts

Step-by-step explanation:

8/12 = 2/3

Apparently, Karen wants to divide her garden into 3 parts and plant 2 of them in corn.

5 0
3 years ago
Math problem help plz <br> (don't send links will report u)<br> ASAp
ozzi
I think the answer is c- reflection
5 0
3 years ago
What is the distance between points F(2, 9) and G(4, 14)? Round to the nearest whole number.
Fittoniya [83]

Answer:

5

Step-by-step explanation:

5 0
3 years ago
Can someone please teach me how to do this? You can please do like 2 questions and please explain exactly how you got the answer
spayn [35]

All of these questions require one thing: trigonometric functions.

There are 3 main trigonometric functions, which can only be used on right triangles: sine, cosine, and tangent.

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

When trying to figure out what function to use, we always start by looking from the angle. Take problem a, for example. Looking from angle E, of which the value is not given, we have the side opposite and the side adjacent. Therefore, we should use the tangent function.

---The hypotenuse is always the longest side of the triangle. It is never considered the opposite or adjacent side.

Let's set up our function with the given information from problem a.

tan(x) = 9.7 / 5.2

---The tangent of an unknown angle is equal to the quotient of the opposite side and the adjacent side.

Now, solving for the value of x will require a calculator. We'll need to use what's called an inverse trigonometric function. Most calculators have these directly above the regular trigonometric functions, and the inverse functions are accessed using a "second" key.

---Ensure that your calculator is in degrees, not radians!

x = tan^-1(9.7 / 5.2)

x = 61.805 = 62 degrees

Next, let's take a look at problem b. This time, we're solving for a side length instead of an angle. But, we're still going to start by looking from our angle.


Looking from the 38 degree angle, we are given the adjacent side and an unknown hypotenuse. Therefore, we should use the cosine function.

cosine(38) = 53.1 / r

---The cosine of a 38 degree angle is equal to the quotient of 53.1 and an unknown hypotenuse, r.

Use your algebra skills to isolate the variable r.

r * cosine(38) = 53.1

r = 53.1 / cosine(38)

---From here, all you need to do is plug this into your calculator. Since we are solving for a side length (and given an angle), we are just using the regular trigonometric function buttons on the calculator.

r = 67.385 = 67.4 units

Hope this helps!

4 0
2 years ago
Other questions:
  • Change decimal 0.35 to a percent
    14·2 answers
  • At the museum you can buy 3 postcard for 5.40 6 postcards for 10.80 or 9 postcards for 16.20 What is the constant of proportiona
    6·1 answer
  • Please what is the answer?
    11·1 answer
  • there are eight students on a minibus five of the students are boys what fraction of the students are boys
    13·1 answer
  • 30% of what number is 72? I need to find the whole number
    12·2 answers
  • Please help me. After charging for 1/3 of an hour, a phone is at 2/5 of its full power. How long will it take the phone to charg
    12·1 answer
  • Multiply the Polynomial<br> (2c-1)(5c-7) <br><br> I just need to know how to do it!
    6·2 answers
  • What is the answer to this
    5·1 answer
  • Tammy jumped up 9 steps. Each step was
    7·2 answers
  • Malcom has 225 years of gimp to make 100 bracelets how much gimp will Malcolm use to make one bracelet?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!