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3 years ago

How would you verify the trigonometric identity 2x = 2sinx cosx

Mathematics

2 answers:

ad-work [718]3 years ago

7 0

Answer:

Step-by-step explanation:

2x = 2sinx cosx is not an identity. An identity is "always true," whereas a conditional equation is true only for specific value(s) of the unknown. Double check to ensure that you have copied down this problem correctly.

dem82 [27]3 years ago

5 0

Step-by-step explanation:

Hi, there!!

I hope you mean sin2x=2sinx . cosx

so, let's begin in a simple way; by adding, alright:

sin2x= sin(x+x) (as 2x=x+x).

now, let's use compound formula for sin,

so, we get:

sin (x+x)= sinx.cosx + cosx. sinx (as sin(A+B)=sin A. cosB + cosA . sinB)

or, sin (x+x)=2sinx.cosx (adding both).

Therefore, sin 2x = 2sinx. cosx.

Hope it helps..

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Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box. Box (x minu

Margarita [4]

Answer:

Below

Step-by-step explanation:

Let y be the missing number inside the box. The equation is:

●y( x-3)+2x= -(x-5)+4

● y (x-3) +2x = -x+5+4

● y (x-3) +2x = -x+9

● y (x-3) +2x+x = 9

●y(x-3)+3x =9

● yx-3y+3x= 9

●yx-3y+3x-9=0

●y(x-3) +3(x-3) =0

● (x-3)(y+3) = 0

●x-3=0 or y+3=0

●x=3 or y = -3

●x=3 or -y = 3

Add them together

● x-y = 6

●x=6+y

● y =6-x

So the number we should put in the box is 6-x

3 0

3 years ago

Are these two expressions equivalent? 5(3+2) and 5.3 + 5.2

vovangra [49]

Answer:

Step-by-step explanation:

5(3+2) = 5(5) = 25

5.3 + 5.2 = 10.5

25 doesn't equal 10.5 therefore 5(3+2) isn't equivalent to 5.3 + 5.2

5 0

3 years ago

the radius of the inner white circle of the doughnut is 2cm. The circumference of the outer edge of the doughnut is 43.96cm. Wha

Elenna [48]

Answer:

141.4 sq cm

Step-by-step explanation:

to find the area of the outer circle with a smaller circle inscribed within, you find the area of each and subtract the smaller area from the larger

the radius of the smaller circle is 2

we have to find the radius of the larger circle so we use what we know about its circumference:

C = 2πr

43.96 = 2πr

21.98 = πr

21.98 / π = r

r ≈ 7 cm

now use r = 7 to find area of larger circle:

A = πr²

A = π49

Area of smaller circle: 4π

Area of larger circle without including inner section is 49π - 4π = 45π

45π ≈ 141.4 sq cm

7 0

3 years ago

Twenty percent of candies in a package are red. The rest are another color.

kenny6666 [7]

Answer:

Step-by-step explanation:

Among the 20 digits shown, each digit appears in the list twice except 0 and 1 appear 3 times and 6 and 9 appear once. That means ...

1 appears 3 times
2 appears 2 times

So, if 1 and 2 represent red candies, there are 3+2 = 5 red candies in the simulated random sample of 20 candies.

_____

Comment on the question

The simulation makes sense only if it represents taking a single candy from each of 20 packages (of unknown quantity of candies). That is, it seems we cannot answer the question, "how many red candies will be in the packages?" We can only answer the question, "how many of the simulated candies are red?"

7 0

3 years ago

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What’s 2x4+10-17•2067

AlekseyPX

The correct answer is 2067

7 0

3 years ago

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