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muminat
3 years ago
6

Derive a formula for cos(2????) in terms of sin(????) and cos(????) for all real numbers u

Mathematics
1 answer:
azamat3 years ago
7 0

Answer:  (2α) = cos²(α) - sin²(α)

Step-by-step explanation:

The expression for cosine of the sum of two angles is:

cos (α + β) = cos(α)*cos(β) - sin(α)*sin(β)

in case α = β

cos ( α + α ) = cos (2α) = cos(α)*cos(α) - sin(α)*cos(α)

Hence cos (2α) = cos²(α) - sin²(α)

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How do you solve interquartile range?
77julia77 [94]
By Hand
Step 1: 
Put the numbers in order.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.

Step 2: 
Find the median.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.

Step 3: 
Place parentheses around the numbers above and below the median. 
Not necessary statistically, but it makes Q1 and Q3 easier to spot.
(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).

Step 4: 
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3 years ago
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The answer would be 250
sineoko [7]

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Step-by-step explanation:

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3 years ago
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A store sold 50 copies of a magazine for $150. Each copy of the magazine costs the same. Which equation and set of ordered pairs
Goryan [66]

Answer:

Option a. Y=3x

Step-by-step explanation:

Let us use cross multiplication method.

Let the cost of 1 magazine be x.

No. of copies                               Cost

1)50                                                $150

2)1                                                      x

50x=150 x 1               equation(1)

x=150/50

x=$3

Now see equation (1),

150=50x

150=50 x 3

Here let us represent the cost as y and no. of copies as x.

Y=3x

Therefore, a. Y=3x is the right answer.

Thank you!

                                             

8 0
3 years ago
Linda bought $87.95 worth of merchandise at an electronics store. She
forsale [732]

Answer:  She paid $66.33

Step-by-step explanation:

The overall amount that you paid for the video game was 87.95. She got 27.79 back as a refund. So you subtract what she paid from her refund. 87.95-27.79 = 60.16.  She also had to pay a fine for the video game. So you add the fine to the amount. 60.16+6.17 = 66.33.

Overall, she paid 66.33.

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3 years ago
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