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
Aleonysh [2.5K]
4 years ago
13

Find all solutions to the equation (sinx-cosx)^2=3

Mathematics
2 answers:
pochemuha4 years ago
7 0

Answer:

This equation has no solution.

Step-by-step explanation:

We have given the equation:

(sinx-cosx)²= 3

We have to solve it.

(sinx-cosx)²= 3

sin²x+cos²x-2sinxcosx = 3

As we know that :

sin²x+cos²x = 1

so, (1)-2sinxcosx = 3

1-2sinxcosx = 3

1-sin2x = 3

sin2x=1-3

sin2x = -2

2x = sin⁻¹(-2)

The value of sinx cannot  be less than -1 so, this equation has no solution.

Karo-lina-s [1.5K]4 years ago
6 0

Answer:

no solutions

Step-by-step explanation:

Simplify the equation (\sin x-\cos x)^2=3:

\sin^2 x-2\sin x\cos x+\cos ^2x=3,\\ \\ (\sin^2x+\cos^2x)-2\sin x\cos x=3.\\

Since

\sin^2 x+\cos^2 x=1

and

2\sin x\cos x=\sin 2x,

we have

1-\sin 2x=3,\\ \\\sin 2x=-2.

Since \sin 2x cannot be less than -1, this equation has no solutions.

You might be interested in
The entire question is un the picture
irakobra [83]
The intersection of the two equations is (1, 1/5). Since the question is asking for the value of x, x = 1. 
8 0
3 years ago
Whats 2+2
Colt1911 [192]
2+2=4 because if you have 2 and you add another 2 you will have 4
4 0
3 years ago
Write 26% as a decimal.
earnstyle [38]
Move the decimal point 2 to the left

Answer is .26
6 0
3 years ago
Question
Jobisdone [24]

Answer:

The light bulb will reach the ground 1.25 seconds after it is dropped.

Step-by-step explanation:

We know that for an object that is in the air, the only force acting on it will be the gravitational force (where we are ignoring the air resistance)

Then the acceleration of the object is the gravitational acceleration, 32.17 ft/s^2

Then the acceleration of the light bulb is:

A(t) = (-32.17 ft/s^2)

Where the negative sign is because the acceleration is downwards.

Now, to get the velocity equation, we need to integrate the acceleration over time, we will get:

V(t) = (-32.17 ft/s^2)*t + V0

Where V0 is the initial velocity of the light bulb. Because it is dropped, the initial velocity will be zero, then V0 = 0m/s, then the velocity equation is:

V(t) =  (-32.17 ft/s^2)*t

Finally, to get the position equation we need to integrate again, we will get:

P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + P0

Where P0 is the initial height of the object, and in this case, we know that it is equal to 25 ft.

Then the position equation is:

P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + 25ft

The object will hit the ground when P(t) = 0 ft, then we need to solve that equation for t:

P(t) =  (1/2)*(-32.17 ft/s^2)*t^2 + 25ft = 0 ft

          25 ft =  (1/2)*(32.17 ft/s^2)*t^2

         2*25ft = (32.17 ft/s^2)*t^2

           50ft =  (32.17 ft/s^2)*t^2

         √( 50ft/(32.17 ft/s^2)) = t = 1.25 s

The light bulb will reach the ground 1.25 seconds after it is dropped.

8 0
3 years ago
List these from least to greatest 1 1/5, -1.23, -1 1/6, 1.14
Sloan [31]

Answer:

of course 34

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • 1996 gail devers won the 100-meter dash in the olympic games. her times was 10.94 seconds. what was her speed in meters per seco
    14·1 answer
  • a sporting goods manufacturer requires 3/8yd of fabric to make a pair of soccer shorts. how many shorts can be made from 9yds of
    15·1 answer
  • what is the equation for the line that is perpendicular to y=2x and passes through the point (-3, 8.5)
    5·1 answer
  • "Reflex angles measure more than 180 degrees" has a counterexample. True or False?
    5·1 answer
  • Please answer this correctly
    15·2 answers
  • Penolope earned $50 in may then she earned $60 in june
    5·1 answer
  • 10/? = 5/7<br> find the number that makes these fractions equal
    7·2 answers
  • A recycling box has a square base with sides measuring 18 inches. The box is 16 inches tall. What is the volume of the recycling
    7·1 answer
  • On a map 1 inch = 50 miles. If two cities are 3 1/2 inches apart, how many miles are they apart?
    6·1 answer
  • Find 95% of 83. do not round your answer.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!