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Vesnalui [34]
2 years ago
15

Express M=cos3A + cos A and N = sin3A + sin A as a product form​

Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
3 0

Answer:

2cosAcos2A, 4sinAcos^2A

Step-by-step explanation:

cos3A+cosA

2cos((3A+A)/2)cos((3A-A)/2)

2cos(4A/2)cos(2A/2)

2cosAcos2A

sin3A+sinA

2sin((3A+A)/2)cos((3A-A)/2)

2sin(4A/2)cos(2A/2)

2sin2AcosA

4sinAcos^2A

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H(W) = 80/w<br> What is the domain of the function?
AnnyKZ [126]

To find the domain, we find every single value that can exist along the x axis.

One can notice here that w is in the denominator, which means a value doesn't exist at 0, because we can't have 0 in the denominator.

Answer:

(-∞,0) U (0,∞)

6 0
3 years ago
By what percent change if the numerator is decreased by 10% and the denominator is decreased by 70%
hjlf

Answer:

It increases x3.

Step-by-step explanation:

Let's say the fraction to begin with was 100/100. Ignore the fact that it isn't fully reduced and it is an improper fraction.

10% of 100 is 10, so the numerator is now 90 (decrease=get smaller; 100-10=90).

70% of 100 is 70, so the denominator is now 30 (decrease=get smaller; 100-70=30).

Our fraction is now 90/30 which, when fully reduced, equals 3.00. Since 100/100 equals 1.00, it has increased by 2.00 (3x bigger).

6 0
3 years ago
Sid brought $200 to the amusement park . the cost of admission is $16.25 , and the cost of a lunch is $6.50 . After Sid purchase
ra1l [238]
Let x represent the # of people in sid’s group: 200 - (16.25x + 6.50x) = 18.25
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5 0
3 years ago
Write the quadratic equation whose roots are 5 and -3, and whose leading coefficient is 1
kogti [31]
1. A quadratic equation has the following form: ax²+bx+c.
 
 2. The leading coefficient is the number that is attached to the variable with the highest exponent. Then, the "a" is the leading coefficient of the quadratic equation.
 
 3. The problem says that the leading coefficient is 1 (a=1) and the roots of the quadratic equation are 5 and -3. Then, you have:
 
 (x-5)(x+3)=0
 
 4. When you apply the distributive property, you obtain:
 
 x²+3x-5x-15=0
 x²-2x-15=0
 
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 x²-2x-15=0
4 0
3 years ago
1) 13 + 3W - 9 + 16w
nevsk [136]

Answer:

4+19W

Step-by-step explanation:

You would just simplify the terms, 13-9=4 and 3W+16W=19W

5 0
3 years ago
Read 2 more answers
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