4 years ago

Find all solutions to the equation: cos x = sin x

Mathematics

2 answers:

bagirrra123 [75]4 years ago

8 0

Cosx=sinx
sin(pi/2-x)=sinx
pi/2-x=x
pi/2=x+x
pi/2=2x
x=pi/4
45 degrees
hope it helps

quester [9]4 years ago

7 0

Divide both sides by cos[x]

You get 1 = Tan[x] 

Tan[x] = 1 where x = 45 degrees {+ integer multiples of 180 degrees due to periodicity of tan} 

x = 45 + 180*k OR Pi/4 + kPi, for k any integer

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In an election, Candidate A received 75 votes and candidate B received 25 votes, after the first 100 votes were counted. Assume

enot [183]

Answer:

Candidate receives 2250 votes

Step-by-step explanation:

Ratio of votes A : B = 75 : 25 = 3 : 1

3 : 1 = x : 750

Product of means = Product of extremes

1 *x = 3*750

x = 3 *750

= 2250

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2 years ago

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tekilochka [14]

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3 years ago

the measurements of a photo and it's frame are shown in the diagram. Write a polynomial that represents the width of the photo.

suter [353]

Answer:

The width of the photo is $4w^2+6w+4$ .

Step-by-step explanation:

From the given figure it is notices that the total width of the frame is

$6w^2+8$

The photo is covered by a frame border and the width of the border is

$w^2-3w+2$

To find the width of the photo we have to subtract the width of upper frame border and lower frame border from the total width of frame.

Width of the photo is

$\text{Width of the photo}=\text{Width of the frame}-2(\text{Width of the frame border})$

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4 0

3 years ago

<1 is a complement of <2, and m<1=66. find <2

Furkat [3]

Answer:

114

Step-by-step explanation:

that's supplementary

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3 years ago

the maximum load of elevator is 480 pounds. Assuming that the average mass of student is 45 pounds, and m represents the number

yaroslaw [1]

We can use the equation 45m < 481

we can replace m to see where it caps.

and the cap is 10.

we can replace m to check our work

45(10) < 481

450 < 481

if you add another student, it would go over the limit.

hope this helps :D

7 0

3 years ago

Read 2 more answers