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3 years ago

Application of Trigonometric Ratios:

Mathematics

1 answer:

Katena32 [7]3 years ago

3 0

9514 1404 393

Explanation:

Graphs of sine and cosine functions are readily available in your text, on the web, and in your graphing calculator or spreadsheet. A graph is also attached here.

The sine and cosine graphs are identical, except that the cosine function is shifted left 1/4 cycle relative to the sine function. Both parent functions have a peak value of 1, and a period of 2π. The sine function is symmetrical about the origin (an odd function), and the cosine function is symmetrical about the y-axis (an even function).

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Answer the following:

jonny [76]

Answer:

As the product of the slop of both lines is -1.

$m_1\times m_2=-1$

$3\times \frac{-1}{3}=-1$

Therefore, the given equations are perpendicular.

Step-by-step explanation:

Given the equations

$-3x+y=-4$

$x+3y=6$

The slope-intercept form of the equation is

$y=mx+b$

where m is the slope and b is the y-intercept.

Writing both equations in the slope-intercept form

$-3x+y=-4$

$y=3x-4$

So by comparing with the slope-intercept form we can observe that

slope of equation = 3

i.e.

$m_1=3$

also

$x + 3y = 6$

$3y\:=\:6-x$

$y=-\frac{1}{3}x+2$

So by comparing with the slope-intercept form we can observe that

the slope of equation = -1/3

i.e.

$m_2=-\frac{1}{3}$

The slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

The slope $m_2$ is the negative reciprocal of the slope $\:m_1$

Also, the product of two perpendicular lines is -1.

i.e.

$m_1\times m_2=-1$

VERIFICATION:

It is clear that the product of the slop of both lines is -1.

$m_1\times m_2=-1$

$3\times \frac{-1}{3}=-1$

Therefore, the given equations are perpendicular.

6 0

3 years ago

Find the ratio of lengths 3 meters to 6 cm

jeka57 [31]

Step-by-step explanation:

Convert metre to centimetre

Recall: 1m = 100cm

That means,

3m = 3 * 100cm = 300cm

Now we compare them since they have the same unit.

300cm : 6cm

50 : 1

Answer = 50 : 1

6 0

3 years ago

Use number line to show numbers in the solution set of the inequality 2s+ 36 greater than 50.

Tems11 [23]

s>7

So, all values greater than 7 are included in the number line.

Step-by-step explanation:

We need to use number line to show numbers in the solution set of the inequality 2s+ 36 greater than 50

Solving and finding value of s:

2s+36>50

Adding -36 on both sides

2s+36-36>50-36

2s>14

Divide both sides by 2

s>7

So, all values greater than 7 are included in the number line.

The number line is shown in figure attached below

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

3 0

3 years ago

Express 25km/h into m/s?

Helen [10]

Answer:

3600(seconds) can also be expressed as 1(kilometer/hour) = 5/18 (meters/second), which is its simplified form. To convert km/h to m/s, directly multiply the given value of speed by the fraction 5/18.

Step-by-step explanation:

I think that explanation is obvious

7 0

2 years ago

The length of each segment

Tema [17]

1. 11/(11+JG)=20/50
11+JG=27.5
JG=16.5
2. i still need some time.. is triangle RST a right-angled triangle or not?

6 0

4 years ago