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
Eva8 [605]
3 years ago
6

True or false (Picture provided)

Mathematics
1 answer:
Naya [18.7K]3 years ago
3 0
<h2>Hello!</h2>

The answer is: True.

<h2>Why?</h2>

A counterexample is a way that we can prove that something is not true about a mathematical equation or expression, it's also considered as an exception to a rule.

So:

sec^{2}x-1=\frac{cosx}{cscx}\\\\tg^{2}x=\frac{cosx}{\frac{1}{sinx}}\\\\\frac{1-cos2x}{1+cos2x}=cosxsinx

Then, evaluating we have:

\frac{1-cos(2*45)}{1+cos(2*45)}=cos(45)*sin(45)\\\\\frac{1-0}{1+0}=\frac{\sqrt{2} }{2}*\frac{\sqrt{2}}{2}\\\\1=\frac{(\sqrt{2})^{2} }{4}\\\\1=\frac{2}{4}\\\\1=\frac{1}{2}

Hence, we can see that the equation is not fulfilled, so, 45° is a counterexample for sec^{2}x-1=\frac{cosx}{cscx} and the answer is true.

Have a nice day!

You might be interested in
Solve 2x+7=x-3 Please can u show your working out
Korolek [52]
X= -10
You may review the image Ive attached to see how I got this answer.

7 0
3 years ago
Read 2 more answers
If f(x) = 5x, what is f–1(x)?
Verdich [7]
We are given f(x) = 5x
and we are to find inverse of f(x).

Step 1:
Replace f(x) by y.
So,

y = 5x

Step 2:
Isolate x
So,

x = y/5

Step 3:
Replace x by f'(y)
So,

f'(y) = y/5

Step 4:
Replace all occurrences of y by x.
So,

f'(x) = x/5

Therefore, the inverse of f(x) = 5x is f'(x) = x/5
7 0
3 years ago
Plss help mee it’s not a or b
Luda [366]
C.
don’t actually put that
6 0
3 years ago
Read 2 more answers
Find the complete factorization of the expression. 12xy + 28xz A) 4yz(10x) B) 4yz(3x + 7x) C) 4x(3y + 7z) D) 4(3xy + 7yz)
VashaNatasha [74]

Answer:

<em>The correct option is:  C)  4x(3y + 7z)</em>

Step-by-step explanation:

Given expression is:   12xy+28xz

First we need to find the GCF(Greatest common factor) of 12xy and 28xz and then we will factor out that GCF.

12xy \Rightarrow 2\times 2\times 3\times x\times y\\ \\ 28xz\Rightarrow 2\times 2\times 7\times x\times z

We can see that the common factors are:  2,2, x

So, the GCF will be:  2\times 2\times x= 4x

Now factoring out 4x from the given expression, we will get.....

12xy+28xz\\ \\ = 4x(\frac{12xy}{4x}+ \frac{28xz}{4x}) \\ \\ =4x(3y+7z)

So, the complete factorization will be:  4x(3y+7z)

7 0
3 years ago
How many places do you need to move the decimal to the left to write the
Vlad [161]

Answer:

9

Step-by-step explanation:

the decimal always goes between the numbers that arent 0s

4 0
2 years ago
Other questions:
  • At higher altitudes, water boils at lower temperatures. This relationship between altitude and boiling point is linear. At an al
    11·2 answers
  • I need help on this math homework and I need the work please
    15·1 answer
  • I don't know which one it is because it could be l or Mabey m or maybe maybe n ooo or I could be o I don't know
    12·1 answer
  • What is the area of a triangle that has a height of 8 feet and a base length of 5 feet?
    7·2 answers
  • The adult skeleton consists of 206 bones. There are 28 bones in the skull and 30 bones in the arms and legs. Out of the 28 skull
    14·2 answers
  • |2x + 3| = 15<br> what is x?
    12·2 answers
  • On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (ne
    10·2 answers
  • I need help please ?!!
    15·1 answer
  • A protractor is used to measure an angle. One ray points to 0° and the other ray points to 125° and 75°. What is the measure of
    8·1 answer
  • Can someone answer 55 ÷ (9 - 4) ⋅ 8 for me please,
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!