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3 years ago

Differentiate f() = ( − cos()) sin()

Mathematics

1 answer:

victus00 [196]3 years ago

7 0

Answer:

Step-by-step explanation:

f'(x) = -d(cos(x))/dx*sin(x) + d(sin(x))/dx * cos(x)

f'(x) = sin(x) * sin(x) + cos(x)*cos(x)

f'(x) = 1

I haven't got theta to comply with your request. The best I can do us use the word theta. x has exactly the same meaning, and the answer would be 1.

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Factor the following polynomial. Select all of the factors of the polynomial.

german

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3 years ago

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3 years ago

Anybody help me to solve this question.

Mumz [18]

Answer:

$\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)} are\ in\ AP$

Step-by-step explanation:

Given that $(b-c)^2, (c-a)^2 , (a-b)^2$ are in AP

To prove: $\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)}$ are in AP

From given as we know if p , q, r are in AP then 2q= p+r.

$2(c-a)^2= (b-c)^2+(a-b)^2\\\\\Rightarrow 2(c^2+a^2-2ac)=b^2+c^2-2bc+a^2+b^2-2ab\\\\\Rightarrow 2c^2+2a^2-4ac= 2b^2+c^2+a^2 -2bc-2ab\\\\\Rightarrow a^2+c^2-2b^2-4ac= -2bc-2ab\\\\\Rightarrow a^2-2b^2+c^2= 4ac-2bc-2ab$

Now

$\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)}2\dfrac{1}{(c-a)} =\dfrac{1}{(b-c)}+\dfrac{1}{(a-b)}\\\\\Rightarrow \dfrac{2}{(c-a)}= \dfrac{a-b+b-c}{(b-c)(a-b)} \\\\\Rightarrow \dfrac{2}{(c-a)}= \dfrac{a-c}{(b-c)(a-b)} \\\\\Rightarrow2(b-c)(a-b) = (c-a)(a-c) \\\\\Rightarrow 2(ab-b^2-ac+bc)= -(a-c)^2\\\\\Rightarrow 2ab- 2b^2-2ac+2bc = -a^2-c^2+2ac\\\\\Rightarrow a^2-2b^2+c^2=4ac-2ab-2bc$

Which is the result of AP

Hence proved

6 0

3 years ago

Can i get help i dont get it

Rasek [7]

Answer:

a=69

b=133

c=116

d=93

e=86

Step-by-step explanation:

first start by finding angle a:

angles in a triangle add up to 180 so we can simply do 180 - 40 - 71 = 69

to find b:

b is on a straight line so we can do 180 - 133 = 47

to find d:

d is part of the small triangle on the right of the diagram, we do not know one of the angles but because it is on a straight line we can do 180-140 = 40. Now to find d we can do 180 - 47 - 40 = 93

to find e:

i'm assuming the large triangle containing e is isosceles so we can do 180 - 2x47 = 86

therefore c is 116 as its the only answer left - hope this helps

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3 years ago

to find the product 3/7x4/9 ,Cameron simplified 3/7 to 1/7 and then multiplied the fractions 1/7 and 4/9 to find the product 4/6

eimsori [14]

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4 years ago