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2 years ago

How to simplify sin(4x) in terms of sin(x) and cos(x) ?

Mathematics

1 answer:

miv72 [106K]2 years ago

4 0

Answer:

sin 4 x = 4 ( sin x − 2 sin 3 x ) √ 1 − sin 2 x

explanation: sin 4 x = 2 sin 2 x cos 2 x = 2 × 2 sin x cos x × ( 1 − 2 sin 2

= 4 sin x cos x − 8 sin 3 x cos x

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A Price of a sweater was reduced from $40 to $25. By what percentage was the price of the sweater reduced?

scZoUnD [109]

Answer:

65%

Step-by-step explanation:

7 0

3 years ago

ali wants to buy a piano the piano measures 19/4 feet long she has a space 5 feet long for the paino in her house. does she have

IceJOKER [234]

Yes. This is because 19/4 as a mixed number is 4 3/4. 4 3/4 < 5. It might be a tight fit but she has enough room

Please vote the brainliest!

8 0

3 years ago

Question 1 (1 point)

olga55 [171]

Answer:

1) $2y^{2}+4y-9$

2) $18x^{5}y^{4}z$

3) $6x^{5}-12x^{4}+9x^{3}$

4) 40

5) $x^{3}-7x^{2}+3x+36$

Step-by-step explanation:

1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:

$(y^{2}-3y-5)-(-y^{2}-7y+4)=y^{2}-3y-5+y^{2}+7y-4=2y^{2}+4y-9$

2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:

$(6xy^{3}z)(3x^{2}yx^{2})=18x^{5}y^{4}z$

3) Apply the Distributive property and the Product property of exponents. Then, you obtain:

$-3x^{3}(-2x^{2}+4x-3)=6x^{5}-12x^{4}+9x^{3}$

4) $(4a+5)^{2}$ is a square of a sum, then, by definition you have:

$(a+b)^{2}=a^{2}+2ab+b^{2}$

Then:

$(4a+5)^{2}=(4a)^{2}+2(4a)(5)+5^{2}=16a^{2}+40a+25$

The coefficient of the second term is the number in front of the variable <em>a.</em> Then, the answer is: 40

5) Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms:

$(x-4)(x^{2}-3x-9)=x^{3}-3x^{2}-9x-4x^{2}+12x+36=x^{3}-7x^{2}+3x+36$

6 0

3 years ago

Find the center and radius for the circle by the equations: x2 + y2 + 5x - y + 2 = 0.

lord [1]

X2+5x+y2-y=-2
X2+2*5x2+(5/2)^2-(5/2)^2+y2-2*y/2+(1/2)^2-(1/2)^2=-2
(x+5/2)^2+(y-1/2)^2-13/2=-2
(x+5/2)^2+(y-1/2)^2=9/2
So centre =(-5/2,1/2)
Radius=(9/2)^(1/2)

7 0

3 years ago

Ryan completed 1/8 of his test in 2/5 hour. If Ryan’s rate stayed the same, how much of his test was finished in one hour

IceJOKER [234]

Answer:

5/16

Step-by-step explanation:

In 5/2 the time, we expect that 5/2 × 1/8 = 5/16 of the test will be complete.

_____

5/2 × (2/5 h) = 1 h

6 0

3 years ago