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Maksim231197 [3]
3 years ago
6

How do you find the general solution for cos2A=cos^2A

Mathematics
1 answer:
eduard3 years ago
6 0

Answer:

A =  0 +/- nπ radians ,  where n is an integer.

Step-by-step explanation:

cos 2A =  cos^2 A

Use the identity cos 2A = 2 cos^2 A -1  :

2cos^2 A - 1 = cos^2 A

cos^2 A = 1

Cos A = +/-1

When cos A = 1,  A = 0 +/- 2nπ radians.

when cos A = -1, A = π +/- nπ radians.

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Classwork
Andrews [41]

Answer:

b

Step-by-step explanation:

Each box represents 1/3. 5/3 of white is 2 boxes more so red needs 2 boxes more than white. 5 red and 3 white is the only one that follows the criteria.

6 0
3 years ago
What expessions are equivalent to 2(25)
aksik [14]

Answer:

2×25

THE ANSWER TO IT WOULD BE 50

Step-by-step explanation:

3 0
3 years ago
The velocity of a particle moving back and forth on a line is vequalsStartFraction ds Over dt EndFraction equals6 sine (2 t )Sta
max2010maxim [7]

Answer:

s = 6 m

Step-by-step explanation:

The value of the velocity v is given as:

v = \frac{ds}{dt} = 6 sin(2t) m/s

To find s, we have to integrate and apply the initial values of s = o when t = 0:

\frac{ds}{dt} = 6 sin(2t)\\\\\int\limits^s_0 {ds} = \int\limits^t_0 {6sin(2t)} \, dt\\\\s|^s_o = -3cos(2t)|^t_o\\\\s - 0 = -3cos(2t) -(-3cos(0))\\\\s = -3cos(2t) + 3(1)\\\\s = -3cos(2t) + 3

When t = π/2, s will be:

s = -3cos(2 * π/2) + 3

s = -3cos(π) + 3

s = -3(-1) + 3

s = 3 + 3

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4 0
3 years ago
14 more than 5 times a number is equal to 20. find the number
GuDViN [60]

Answer:

6/5

Step-by-step explanation:

5x + 14 = 20

Subtract 14 from 20

5x = 6

Divide both sides by 5

x = 6/5

4 0
3 years ago
Reggie was looking at a map of the school the scale shows that 1 inch equals 150 ft if the distance between his classroom in the
topjm [15]

Answer:

the actual distance is 1800 ft.

Step-by-step explanation:

Proportion states that the two fractions or ratios are equal.

Let x be the actual distance.

As per the statement:

Reggie was looking at a map of the school the scale shows that 1 inch equals 150 ft.

⇒1 inch = 150 ft.

if the distance between his classroom in the cafeteria measures 12 in on the map.

by definition of proportions we have;

\frac{1}{150} = \frac{12}{x}

By cross multiply we have;

x = 12 \cdot 150 = 1,800 ft

Therefore, the actual distance is 1800 ft.

4 0
3 years ago
Read 2 more answers
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