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
BartSMP [9]
3 years ago
12

Please please help!!

Mathematics
1 answer:
shepuryov [24]3 years ago
4 0

Answer:

\large\boxed{x=0\ and\ x=\pi}

Step-by-step explanation:

\tan^2x\sec^2x+2\sec^2x-\tan^2x=2\\\\\text{Use}\ \tan x=\dfrac{\sin x}{\cos x},\ \sec x=\dfrac{1}{\cos x}:\\\\\left(\dfrac{\sin x}{\cos x}\right)^2\left(\dfrac{1}{\cos x}\right)^2+2\left(\dfrac{1}{\cos x}\right)^2-\left(\dfrac{\sin x}{\cos x}\right)^2=2\\\\\left(\dfrac{\sin^2x}{\cos^2x}\right)\left(\dfrac{1}{\cos^2x}\right)+\dfrac{2}{\cos^2x}-\dfrac{\sin^2x}{\cos^2x}=2

\dfrac{\sin^2x}{(\cos^2x)^2}+\dfrac{2-\sin^2x}{\cos^2x}=2\\\\\text{Use}\ \sin^2x+\cos^2x=1\to\sin^2x=1-\cos^2x\\\\\dfrac{1-\cos^2x}{(\cos^2x)^2}+\dfrac{2-(1-\cos^2x)}{\cos^2x}=2\\\\\dfrac{1-\cos^2x}{(\cos^2x)^2}+\dfrac{2-1+\cos^2x}{\cos^2x}=2\\\\\dfrac{1-\cos^2x}{(\cos^2x)^2}+\dfrac{1+\cos^2x}{\cos^2x}=2

\dfrac{1-\cos^2x}{(\cos^2x)^2}+\dfrac{(1+\cos^2x)(\cos^2x)}{(\cos^2x)^2}=2\qquad\text{Use the distributive property}\\\\\dfrac{1-\cos^2x+\cos^2x+\cos^4x}{\cos^4x}=2\\\\\dfrac{1+\cos^4x}{\cos^4x}=2\qquad\text{multiply both sides by}\ \cos^4x\neq0\\\\1+\cos^4x=2\cos^4x\qquad\text{subtract}\ \cos^4x\ \text{from both sides}\\\\1=\cos^4x\iff \cos x=\pm\sqrt1\to\cos x=\pm1\\\\ x=k\pi\ for\ k\in\mathbb{Z}\\\\\text{On the interval}\ 0\leq x

You might be interested in
Quick TIMED does anyone know this algebra 2 question? Will give brainiest
USPshnik [31]

I think it is the third one

7 0
3 years ago
Read 2 more answers
The polynomial p(x)=x^3-6x^2+32
shtirl [24]

Answer:

x^(3)+6x^(2)-32

Step-by-step explanation:

You need to set the original equation equal to 0.

7 0
3 years ago
Suppose the commute times for employees of a large company follow a
Anna [14]

Using the Empirical Rule, it is found that 95% of the employees will have a travel time within the following range:

B. 8 minutes to 28 minutes.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Considering that the mean time is 18 minutes and the standard deviation is 5 minutes, the the bounds of the 95% range are given by:

  • 18 - 2 x 5 = 8 minutes.
  • 18 + 2 x 5 = 28 minutes.

Hence option B is correct.

More can be learned about the Empirical Rule at brainly.com/question/24537145

#SPJ1

5 0
2 years ago
If a cup of coffee is at 90°C and a person with a body temperature of 36°C touches it, how will heat flow between them?
Alex777 [14]

Answer:

The answer is B (From the cup to the hand)

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
If ED = x + 4 and DB = 3x - 8, find ED, DB, and EB
Tom [10]

Answer:

Part 1) ED=10\ units

Part 2) DB=10\ units

Part 3) EB=20\ units

Step-by-step explanation:

we know that

EB=ED+DB

ED=DB -----> given problem

Substitute the given values and solve for x

x+4=3x-8

3x-x=4+8

2x=12

x=6

<em>Find the value of ED</em>

ED=x+4

substitute the value of x

ED=6+4=10\ units

<em>Find the value of DB</em>

Remember that

ED=DB

therefore

DB=10\ units

<em>Find the value of EB</em>

EB=ED+DB

EB=10+10=20\ units

5 0
3 years ago
Read 2 more answers
Other questions:
  • Find m2ABC if m2ABC = 4x + 9 and m2 EBD = 7x– 9.<br> A6<br> B 33<br> C 45<br> D 73
    8·2 answers
  • Graft the solution to the inequality on the number line. <br><br><br> m&gt;2.8
    12·2 answers
  • Charlotte has been working for her company for x years. Travis has been working for the same company exactly 3 years longer than
    8·2 answers
  • The standard normal distribution has a mean of<br><br> and a standard deviation of
    14·1 answer
  • Does the sum 1-5+1-5 =makes sense in this situation explain
    14·2 answers
  • If the outlier is removed, what is the mean of the data set below
    11·1 answer
  • How do I solve this? Helppp​
    5·1 answer
  • I need help on this question
    10·1 answer
  • Hey there whats 1-100-100-1223-1030 :)
    8·2 answers
  • Which algebraic expression represents this phrase?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!