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
wel
2 years ago
14

How do I verify: tan(x)+cot(x)=(2)/sin(2x)?

Mathematics
1 answer:
Ne4ueva [31]2 years ago
4 0

sin^2(\theta)+cos^2(\theta)=1\qquad \qquad sin(2\theta)=2sin(\theta)cos(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}

tan(x)+cot(x)=\cfrac{2}{sin(2x)} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{doing the left-hand-side}}{\cfrac{sin(x)}{cos(x)}+\cfrac{cos(x)}{sin(x)}\implies \cfrac{sin^2(x)+cos^2(x)}{\underset{\textit{using this LCD}}{sin(x)cos(x)}}} \implies \cfrac{1}{sin(x)cos(x)}

now, let's recall that anything times 1 is just itself, namely 5*1 =5, 1,000,000 * 1 = 1,000,000, "meow" * 1 = "meow" and so on, so we can write anything as time 1.

let's recall something else, that same/same = 1, so

\cfrac{cheese}{cheese}\implies \cfrac{spaghetti}{spaghetti}\implies \cfrac{horse}{horse}\implies \cfrac{butter}{butter}\implies \cfrac{25^7}{25^7}=1

therefore

\cfrac{1}{sin(x)cos(x)}\cdot \cfrac{2}{2}\implies \cfrac{2}{2sin(x)cos(x)}\implies \cfrac{2}{sin(2x)}

You might be interested in
What is the value of the tangent of
kiruha [24]

Answer:

Step-by-step explanation:

With reference < H

perpendicular (p) = 12

base (b) = 5

so now

tangent of < H

= p / b

= 12 / 5

hope it helps :)

7 0
3 years ago
Read 2 more answers
Please help!!!!!!!!
Arisa [49]

It should be C., is that what the graph looks like?

6 0
3 years ago
EVERYONE LISTEN PLZ!!!! there's this person named mariaivanovaloveyou
Ksju [112]

Answer:

done

Step-by-step explanation:

5 0
2 years ago
Solve for x: 2x-4/5=x+4
shepuryov [24]

2x-4=5x+20

-3x=24

x=-8

3 0
3 years ago
Read 2 more answers
Evaluate 3^2 + (7 − 2) ⋅ 4 − 6 over 3
goldfiish [28.3K]

Answer:

7.7

Step-by-step explanation:

we basically follow the BEDMAS rule

1st we workout the bracket (7-2)=5

2nd the exponent 3^2=9

3rd the multiplication (7-2) . 4 = 5 . 4 = 20

4th addition 9+20=29

5th step is subtraction 29-6=23

the final step is dividing 23 by 3, which will become 7.7

6 0
2 years ago
Read 2 more answers
Other questions:
  • The equation $1.50p + $5.00 = $14.00 shows the total cost of picking p pounds of blueberries at a local blueberry farm. how many
    12·1 answer
  • What is the slope of y equals 2x -1​
    14·2 answers
  • The perimeter of a square is 80 minus 64 y units. Which expression can be used to show the side length of one side of the square
    6·1 answer
  • Please help!!!!!!! Which of the following options is an equivalent function to f(x)=3(2)^3x
    15·2 answers
  • Shanti is taking a cube-shaped gift to a friend's birthday party. She wants to wrap it but she doesn't have very much paper, so
    13·2 answers
  • Convert the decimal 0.6333… to a fraction and classify it as either rational or irrational.
    6·2 answers
  • What’s the correct answer for this?
    13·1 answer
  • Which expression is equivalent to (29P+4)??<br> PLSSS HURRY
    9·2 answers
  • 12+[ 9 4/5 - ( 1.5 + 2 2/10)]<br><br><br><br>Someone please help me?​
    9·1 answer
  • Crew b earns $315 after 3 hours, $525 after 5 hours, and $735 after 7 hours of work. Explain whether or not Crew b's data show a
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!