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Ierofanga [76]
3 years ago
13

Which of the following are identities? check all that apply.

Mathematics
1 answer:
Feliz [49]3 years ago
4 0

Answer: (a), (b), (c), and (d)

Step-by-step explanation:

Check the options

(a)\\\Rightarrow [\sin x+\cos x]^2=\sin ^2x+\cos ^2x+2\sin x\cos x\\\Rightarrow [\sin x+\cos x]^2=1+2\sin x\cos x\\\Rightarrow \Rightarrow [\sin x+\cos x]^2=1+\sin 2x

(b)\\\Rightarrow \sin (6x)=\sin 2(3x)\\\Rightarrow \sin 2(3x)=2\sin (3x)\cos (3x)

(c)\\\Rightarrow \dfrac{\sin 3x}{\sin x\cos x}=\dfrac{3\sin x-4\sin ^3x}{\sin x\cos x}\\\\\Rightarrow 3\sec x-4\sin ^2x\sec x\\\Rightarrow 3\sec x-4[1-\cos ^2x]\sec x\\\Rightarrow  3\sec x-4\sec x+4\cos x\\\Rightarrow 4\cos x-\sec x

(d)\\\Rightarrow \dfrac{\sin 3x-\sin x}{\cos 3x+\cos x}=\dfrac{2\cos [\frac{3x+x}{2}] \sin [\frac{3x-x}{2}]}{2\cos [\frac{3x+x}{2}]\cos [\frac{3x-x}{2}]}\\\\\Rightarrow \dfrac{2\cos 2x\sin x}{2\cos 2x\cos x}=\dfrac{\sin x}{\cos x}\\\\\Rightarrow \tan x

Thus, all the identities are correct.

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Ullmark 1 Bus
Vesna [10]

Answer: Option B) 7,214

Step-by-step explanation:

The value of the digit 2 in 5,426 is 20.

-In 2,843, the place value of 2 is 2000

- In 7,214, the place value of 2 is 200

- In 43,928, the place value of 2 is 20

- In 67,452, the place value of 2 is 2

So, since he place value of 2 in 7,214 is 200; and since 200 is ten times more than 20 (i.e 20 x 10 = 200)

Thus, the answer is 7214

3 0
3 years ago
La suma de dos enteros consecutivos es 25
Mkey [24]
X = el entero más pequeño

Entonces, el otro entero = x+1

Y podemos poner estos numeros en la equacion dado:

x + x+ 1 = 25

2x + 1 = 25

2x = 24

x = 12

x+ 1 = 13

Entonces, los enteros son 12 & 13.
5 0
3 years ago
Members of a baseball team raised $1780.50 to go to a tournament. They rented a
Alina [70]

Answer: 17 players

Step-by-step explanation: 1780.50-1151.50=629, 629/37 = 17

3 0
1 year ago
What is the value of -3 exponent of 2 +(4+7)(2)?
Rasek [7]

Answer: your actions come back to haunt you

Step-by-step explanation:

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6 0
3 years ago
For each set of three measures, determine if they can be angle measures of a triangle.
sp2606 [1]

The sum of the angles in the triangle must be equals to 180 degrees for it to be the angle measure of a triangle.

<h3>Angles in a triangle</h3>

The sum of angles in a triangle is equals to 180 degrees.

Therefore, adding up the three angles in a triangle must be equals to 180 degrees.

Hence,

42 + 34 + 56 = 132 degrees

This does not form a triangle.

35 + 80 + 65 = 180 degrees

This can be the angle measure of a triangle.

15 + 51 + 24 = 90 degrees

This cannot be the angle measure of a triangle.

18 + 42 + 120  = 180

This can be the angle measure of a triangle.

learn more on triangle angles here: brainly.com/question/15161714

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3 0
2 years ago
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