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Sati [7]
3 years ago
14

Find the exact trigonometric ratios for the angle x whose radian measure is given. (if an answer is undefined, enter undefined.)

3Ï 4
Mathematics
1 answer:
Inga [223]3 years ago
8 0
Given the angle \frac{3\pi}{4}

angle \frac{3\pi}{4} is equivalent to angle 135 degrees and angle 135 degrees is equvalent to angle 45 degrees in the second quadrant, thus sine is positive but cosine and tangent are negative.

\sin \frac{3\pi}{4} =\sin \frac{\pi}{4} = \frac{1}{ \sqrt{2} }  \\  \\ \csc\frac{3\pi}{4}= \frac{1}{\sin\frac{3\pi}{4}} = \frac{1}{\frac{1}{ \sqrt{2} }} = \sqrt{2}  \\  \\ \cos\frac{3\pi}{4} =-\cos \frac{\pi}{4} = -\frac{1}{ \sqrt{2} }  \\  \\ \sec\frac{3\pi}{4}= \frac{1}{\cos\frac{3\pi}{4}} = \frac{1}{-\frac{1}{ \sqrt{2} }} =- \sqrt{2}  \\  \\ \tan\frac{3\pi}{4} =-\tan \frac{\pi}{4} = -1  \\  \\ \cot\frac{3\pi}{4}= \frac{1}{\tan\frac{3\pi}{4}} = \frac{1}{-1} =- 1
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Simplify the following expression.<br> 2x + 3x3 - 5x2 + x2 +7x + 1+ 7x -3x3 - 4
denis-greek [22]

-4x^2+16x-3 is your answer

8 0
3 years ago
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A pencil factory makes 50 cases of pencils in 5 hours.
Oduvanchick [21]


If a pencil factory makes 50 cases of pencils in 5 hours. Let's first find out how many cases are made per hour.

50 ÷  5 = 10 cases per hour

Now you need to know how long it will take to make 55 cases. Since we already know that it takes 5 hours to make 50 cases. So you need to know how many cases for the extra 5 cases. If it takes 1 hour to make 10 cases, it would only take 1/2 hour to make 5 cases.

So it would take 5 1/2 hours to make 55 cases.

Hope this helps. :)

5 0
3 years ago
Solve each system of equations by writing a new system that eliminates one of the variables.
Rufina [12.5K]

Answer:

x=33\\y=-41

Step-by-step explanation:

Let:

2x+y=25\hspace{5}(1)\\and\\4x+3y=9\hspace{5}(2)

We need to eliminate one of the variables, so let's use elimination method. First multiply (1) by 2

2*(1)\equiv\hspace{5}4x+2y=50

Now subtract (2) from 2*(1) in order to eliminate x:

2*(1)-(2)\\4x-4x+2y-3y=50-9\\-y=41

Solving for y:

Multiplying both sides by -1  

y=-41

Finally, replacing the value of y in (1)

2x-41=25

Solving for x:

add 41 to both sides:

2x=66

Multiply both sides by 1/2:

x=\frac{66}{2} =33

3 0
3 years ago
Find this in the graph g(-4) =
Radda [10]

Answer:

g(-4) = 1

General Formulas and Concepts:

<u>Algebra I</u>

  • Reading a Cartesian plane
  • Coordinates (x, y)
  • Function Notation

Step-by-step explanation:

What g(-4) is saying is what the output of the function g(x) when x= -4. According to the graph, when x = -4, y = 1.

∴ g(-4) = 1

5 0
2 years ago
(9+4a)+(4+3c)=? ​(Simplify your​ answer.)
mr Goodwill [35]

Answer:

= 4a + 3c + 13

Step-by-step explanation:

(9+4a)+(4+3c)

= 9 + 4a + 4 + 3c

= 4a + 3c + 13

3 0
3 years ago
Read 2 more answers
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