2 years ago

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

You might be interested in

-2 x 4^5 + 18 x 4^5 = ?<br><br> The answer must be in form of a^b. Please explain step by step.

zalisa [80]

Answer:

17*2^11

Step-by-step explanation:

Lets start by remembering two property of power.

$x^{m} * x^{n}= x^{n+m}$

$(x^{m})^{n}= x^{m*n}$

That is important to remember since 4= 2^2. Hence, the given problem can be written as the following

$-2*(2^{2} )^{5}+9*2^{2}*(2^{2} )^{5} \\-2*2^{10}+9*2^{2}*2^{10}\\ -2^{11}+9*2^{12}\\ -2^{11}(-1+9*2)=-2^{11} (17)$

5 0

3 years ago

Find the distance between the points given.<br><br> (0, -6) and (9, 6)

Leya [2.2K]

AB=9
AC=`12
BC=x=?
ABC is a triangle with 90 degree
x2=(9)2+(12)2
x2=81+144
x2=225
x=15 so the distance between the points given is 15

8 0

3 years ago

Read 2 more answers

On a basketball court the free throw line is marked off geometrically this area of the court is called a key and is topped

Alenkinab [10]

Step-by-step explanation:

Arc length formula is

$s = rx$

where x is radinas.

A semi circle has a radian measure of

$\pi$

The radius is half of the diameter, 12 so the radius is

$12 \times \frac{1}{2} = 6$

So the arc length is

$6 \times \pi = 6\pi$

Area of semi circle is

$\frac{1}{2} \pi {r}^{2}$

where r is the radius.

$\frac{1}{2} \pi6 {}^{2}$

$\frac{1}{2} 36\pi$

$18\pi$

3 0

2 years ago

Can someone help me please???

Oduvanchick [21]

Answer:

1. CHECK

2. CHECK

Step-by-step explanation:

i hole it helps

8 0

3 years ago

The ratio of pages read to minutes for Hang is 5:8. Select all the people who have a greater ratio of pages to read to minutes t

Serhud [2]

Answer:

d or e lulu

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

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

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