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
Misha Larkins [42]
2 years ago
14

1+sinx+cosx/1+sinx-cosx=1+cosx/sinx help pls by proving

Mathematics
1 answer:
Monica [59]2 years ago
6 0

Answer:

Below.

Step-by-step explanation:

I'll  write sin x as s and cos x as c so we have:

(1 + s +c)/(1 + s - c) = (1 + c)/s

Cross multiplying:

s + s^2 + cs  = 1 + s - c + c + cs - c^2

s  + s^2 + cs = 1 + s + cs - c^2

s^2 + c^2 + s - s + cs - cs = 1

s^2 + c^2 = 1.

- that is sin^2 x + cos^2 x = 1 which is a known identity.

Therefore the original identity is proved.

You might be interested in
Look at the picture
IRISSAK [1]

Answer:

x = 10

Step-by-step explanation:

In the last step, you can see that the fraction \frac{1}{5} has been multiplied by its reciprocal \frac{5}{1}, making it cancel out. The reciprocal has been multiplied to both sides, so all you need to do is multiply \frac{6}{3} · \frac{5}{1} :

6 · 5 = 30

3 · 1 = 3

<u><em>So now you should have the fraction:</em></u>

x = \frac{30}{3}

<u><em>But, you can still simplify the fraction by dividing 30 by 3:</em></u>

x = 10

7 0
3 years ago
Someone please help me with this and show work I don’t get it I’ll give brainliest
kenny6666 [7]

Answer: THAT IS RIGHT OK BYE MAN

Step-by-step explanation: OK BYE

4 0
3 years ago
A manufacturer has fixed costs of $16,000 per month and can produce w widgets at a cost of 0.1w^(2) + 20w. How many widgets shou
musickatia [10]
Consider c as the cost of the widget so that our given equation is
c = 0.1w^2 + 20w
Take the derivate of the equation.
d/dt (c = 0.1w^2 + 20w)
dc/dt = 0.2w + 20
Given dc/dt = $16000 per month, the number of widgets would contain:
16000 = 0.2w + 20
-0.2w = 20 - 16000
-0.2w = -15980
w = 79900 widgets
5 0
2 years ago
find the product with the exponent in the simplest form. Then, identify the values of x and y. 6^1/3 * 6^1/4 = 6^x/y
mr Goodwill [35]
<span>6^1/3 * 6^1/4 = 6^x/y

The key to solving this problem is understanding properties of exponents:
If you are multiplying two powers with the same base (in this case the base is 6), the result is the base raised to the power of the two exponents added together.

6^1/3+1/4 = 6^x/y
6^7/12 = 6^x/y
 
So the product would be 6^7/12
x = 7
y = 12</span>
6 0
3 years ago
A rectangle with the length of 1/5 yard and the width of 2/3 yards
suter [353]

Answer:

Yeah she is right but its kinda hard to know wahat u want

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • At which value(s) is the expression
    7·1 answer
  • What is the opposite reciprocal of 6
    6·1 answer
  • the volume of a cylinder is 600 pi in3. The height of the cylinder is 6in. I have to calculate the radius of the cylinder
    14·1 answer
  • Which expression represents the phrase the product of 15 and the quantity 12 more than a number x
    5·2 answers
  • Select the histogram that represents the given test scores
    5·1 answer
  • 18. What's the product of 3 2/3 and 14 2/5 ?<br> A. 42 4/5<br> B. 54<br> C. 52 4/15<br> D. 52 4/5
    11·1 answer
  • Help im stuck Please help
    11·2 answers
  • Luke earned $20 shoveling driveways. He put 10% in his savings account and spent $9.50 on a game. How much money does he have le
    5·1 answer
  • Select all the correct answers. Which vectors are unit vectors?
    13·1 answer
  • Which ordered pair is the solution to the system of linear equations y =5x +8 and y= -4 x-1
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!