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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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During a sale, a clothing store discounts all prices by the same percentage. A pair of jeans is marked down from $45.00 to $33.7
Rina8888 [55]
I think the answer is c
3 0
2 years ago
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Which correctly describes the roots of the following cubic equation x^3-5x^2+3x+9=0? A. Three real roots, each with a different
77julia77 [94]

Answer:

The correct option is C.

Step-by-step explanation:

The given cubic equation is

x^3-5x^2+3x+9=0

According to the rational root theorem 1 and -1 are possible rational roots of all polynomial.

At x=-1, the value of function 0. Therefore (x+1) is the factor of polynomial and -1 is a real root.

Use synthetic division to find the remaining polynomial.

(x+1)(x^2-6x+9)=0

(x+1)(x^2-2(3)x+3^2)=0

Using (a-b)^2=a^2-2ab+b^2

(x+1)(x-3)^2)=0

USe zero product property and equate each factor equal to 0.

x=-1,x=3,x=3

Therefore the equation have three real roots out of which the value of two roots are same.

Option C is correct.

7 0
3 years ago
Read 2 more answers
What is the value of h (-2) when h (3) = 32 +1?<br> Enter your answer in the box.<br> h (-2) =
just olya [345]

Answer:(-22)

Step-by-step explanation:

What is the value of h (-2) when h (3) = 32 +1?

hx3=33

33 divided by 3

which means h=11

that makes 11(-2)

=(-22)

8 0
3 years ago
Write the equation of the line in slope-intercept form passing through the points (-4,2) and (1,12)
alexira [117]

Answer:

y = 2x + 10

Step-by-step explanation:

Find the slope:

12 - 2 / 1 - (-4)

10 / 5 = 2

Write in point-slope form:

y - 12 = 2(x - 1)

rearrange:

y - 12 = 2x - 2

y = 2x + 10

6 0
3 years ago
5
natka813 [3]

Answer:

21s+8=r

need more characters

6 0
3 years ago
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