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
lisabon 2012 [21]
3 years ago
14

What are the values of sin α and tan α, if: cosα=0.6

Mathematics
1 answer:
olganol [36]3 years ago
6 0

Positive cosine is first or fourth quadrant.  So we don't know the sign of the sine or the tangent.

Everybody's favorite right triangle is 3/4/5 and here we have

\left(\dfrac 3 5 \right)^2 + \left(\dfrac 4 5 \right)^2 = 1

So if

\cos \alpha = 0.6 = \dfrac 3 5

then

\sin \alpha = \pm \dfrac{4}{5} = \pm 0.8

and

\tan \alpha = \dfrac{\sin \alpha}{\cos \alpha} = \dfrac{\pm 0.8}{0.6}=\pm \dfrac 4 3

You might be interested in
What would be a line perpendicular to (2,3) (5,5)?
ladessa [460]

9514 1404 393

Answer:

  3x + 2y = 0   or   y = -3/2x

Step-by-step explanation:

The relationship between a line and its perpendicular is that their slopes are opposite reciprocals of each other. So, the thing you need to know about the line through the two given points is its slope. That is found using the slope formula:

  m = (y2 -y1)/(x2 -x1) . . . . . . where the two give points are (x1, y1) and (x2, y2)

Putting your point coordinates in this formula gives ...

  m = (5 -3)/(5 -2) = 2/3

Then the perpendicular line will have a slope that is the opposite reciprocal:

  slope of perpendicular = -1/m = -1/(2/3) = -3/2

You have not said whether the perpendicular line must meet any other requirement, so the simplest one we can write is ...

  y = mx + b . . . . . m is the slope and b is the y-intercept

  y = -3/2x . . . . . . has a y-intercept of 0 (goes through the origin)

Multiplying by 2 and adding 3x gives ...

  3x + 2y = 0 . . . . . standard form equation

_____

<em>Comment on the attachment</em>

The geometry program I used to create the attachment wrote the equation of the line through the given points as ...

 2x -3y = -5 . . . . . standard form equation

The equation of a perpendicular line can be created from this form by swapping the x- and y-coefficients and negating one of them. Simply swapping the coefficients would give ...

  -3x +2y = <something>

In standard form, we want the leading coefficient to be positive, so we can choose to negate the x-coefficient. The <something> can be zero to make the line go through the origin.

  3x +2y = 0 . . . . . a perpendicular in standard form

__

If you need to have the line go through a particular point, you can determine the constant value (on the right of the = sign) by putting the point coordinates in for x and y.

_____

Method summary:

  • find the slope of the given line
  • determine its opposite reciprocal to find the slope of the perpendicular line
  • use that new slope in an appropriate form to have the line go where you want it to go. (Point-Slope Form is often useful)

3 0
3 years ago
Samuel makes a dozen of mini cupcakes using 5/8 ​ cups of sugar, 3 cups of chocolate chips and 1/2 cup of butter. If each cupcak
baherus [9]

I don't what form of measurement to use (like grams, cusp, etc.) but I'm pretty sure it'd be cups

I think it's 5/96 or .05208333

So, 5/8 is .625. Dividing that up in throwing it into 12 cupcakes.

8 0
2 years ago
The population of a town increased by 15% in 2016, and decreased by 5% in 2017. If the population of the town was 60,000 in the
nikdorinn [45]

Answer:

The population of the town at the end of 2017 was 65,550.

Step-by-step explanation:

The population of the town was 60,000 in the beginning of 2016.

In 2016, the total population is increased by 15%.

60,000\times\frac{15}{100}=9000

Therefore the population is increased by 9000 and the population of the town at the end of 2016 was

60,000+9000=69,000

In 2017, the total population is decreased by 5%.

69,000\times\frac{5}{100}=3450

Therefore the population is decreased by 3450 and the population of the town at the end of 2017 was

69,000-3450=65,500

Therefore the population of the town at the end of 2017 was 65,550.

3 0
3 years ago
Is 1/4 equivalent to 2/7?
Mazyrski [523]
No they are not equivalent

6 0
3 years ago
Read 2 more answers
3x-7y=14
Mademuasel [1]

Answer:

A. \frac{3}{7}

Step-by-step explanation:

The given equation is

3x-7y=14

We solve for y by  subtracting 3x from both sides to obtain;

-7y=14-3x

We now divide through by -7 to get;

y=\frac{-3}{-7}x+\frac{14}{-7}

This simplifies to;

y=\frac{3}{7}x-2

This equation is now in the form y=mx +c, where m=\frac{3}{7} is the slope.

4 0
3 years ago
Other questions:
  • juan made $207.00 for 9 hours of work at the same rate how many hours of work does juan have to work to make $223.00
    7·1 answer
  • Start:10:05am end 10:50am
    8·2 answers
  • Solve 0 = 4x2+12x+9.
    8·2 answers
  • IWhat is the slope of the line whose equation is y-4=5/2(x-2)?
    8·1 answer
  • Can someone help me with question 4:) anything is appreciated (8th grade math)
    7·1 answer
  • Help PLSSSSSSSSSSSSSSSSS extra points
    14·1 answer
  • Solve the equation below.<br><br>f(x)=2-x​
    8·2 answers
  • A delivery of patio stones arrives with 80 boxes each containing 40 pounds of stone what is the total weight of this delivery in
    8·2 answers
  • 12(3+m) <br> A.36m<br> B.36+m<br> C.36+12m<br> D.3m+12m<br> PLEASSSSEEE HELP ASAP 15
    13·1 answer
  • Pls help I will put brainlist if u help me told nd thank u
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!