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
the original cost of a piano is 19,100 and it is on a sale for 19% off its original price if the total l cost includes a 5% sale
amid [387]

Answer:

16,244.55

Step-by-step explanation:

Original cost of piano = 19,100

19% off on 19,100 = 0.19*19100 = 3,629

Selling cost = 19100 - 3629 = 15471

Sales tax = 5% =0.05

Amount of sales tax = 0.05*15471 = 773.55

Total selling cost of piano = Selling cost + Amount of sales tax = 15471 + 773.55 = 16,244.55

4 0
3 years ago
Read 2 more answers
Making and Interpreting Correlations: Mastery Test
garri49 [273]

Answer:

Graph D > Graph A > Graph C > Graph B

Step-by-step explanation:

The closer the data points are to each other along the line of best fit, the greater the value of their correlation coefficient, and vice versa.

Therefore, the graphs can be arranged in descending other (from the highest to the lowest) based on the values of their correlation coefficients as follows:

Graph D > Graph A > Graph C > Graph B

8 0
2 years ago
What is the slope of the line that goes through the points (2,-1) and (6,1)
drek231 [11]

Answer: The slope is \frac{1}{2}.

Step-by-step explanation:

1. You set up your Slope Formula M=\frac{y2-y1}{x2-x1}.

2. Substitue your points into the formula.M=\frac{1--1}{6-2}.

3. Once you substitute, you will solve the equationM=\frac{2}{4}.

4. Simplify the equation if you have to M=\frac{1}{2\\}.

7 0
3 years ago
The intensity of a sound varies inversely where of its distance from the source at a distance of 1 meter the intensity of a jet
xz_007 [3.2K]

Answer:

  1/250 W/m² or 0.004 W/m² or 4 mW/m²

Step-by-step explanation:

The cargo worker is (50 m)/(1 m) = 50 times the reference distance. The intensity varies as the inverse of the square of the distance, so will be ...

  (1/50)²×(10 W/m²) = 10/2500 W/m² = 1/250 W/m²

This might be more conveniently written as 4 mW/m².

4 0
2 years ago
Elsa pumped 12 gallons of water into her pool. This was done over a period of 2 minutes at a constant rate. What was the change
Rashid [163]

Answer:

it was 6 because do 12 / 2 will equal 6.

5 0
2 years ago
Other questions:
  • Helppppppppppppppppppppppppppppppppppppp
    10·1 answer
  • The level of a lake was 8 inches below normal. It decreased 1 1/4 inches in June and 2 3/8 inches more in July. What was the new
    5·2 answers
  • 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
  • Is (0,0) a solution to this system?
    7·1 answer
  • Please help fast this is due tomorrow
    9·1 answer
  • Write an equation of the cosine function with amplitude pi/2 and period 3
    8·1 answer
  • The forecast calls for a 10% chance of rain on Monday. It’s _______ that it will rain on Monday.
    11·1 answer
  • Stan ran 4 7/10 miles, which was 1 3/10 fewer miles than Matt ran. Four students wrote and solved equations to find m, the numbe
    11·2 answers
  • Rearrange this question and make the m as the subject
    9·1 answer
  • Pls help meeeeeeeeeeeeeeeeeeeee i need to figure out the 2 words
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!