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weqwewe [10]
3 years ago
15

(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos2x

Mathematics
1 answer:
Aliun [14]3 years ago
5 0
As

\tan x=\dfrac{\sin x}{\cos x}
\cot x=\dfrac{\cos x}{\sin x}

we have

\sin x(\tan x\cos x-\cot x\cos x)=\sin x\left(\sin x-\dfrac{\cos^2x}{\sin x}\right)=\sin^2x-\cos^2x

Recalling that \cos2x=\cos^2x-\sin^2x, we end up with

-\cos2x=1-2\cos2x
1=\cos2x
\implies2x=2n\pi

(where n is any integer)

\implies x=n\pi
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Mekhanik [1.2K]

Answer:

Step-by-step explanation:

Perpendicular lines are lines whose slopes are negative reciprocals of each other

To find the slope of the line we are given, we can rearrange the equation

4x - 5y = 4\\4x - 4 = 5y\\y = \frac{4}{5}(x) - \frac{4}{5}

The slope of this line is \frac{4}{5}, so the slope of the other line is \frac{-5}{4}

next, we can use the given point to find the equation y = mx +b

we know m, we can solve for b

y = \frac{-5}{4}(x) + b\\-3 = \frac{-5}{4}(-2) + b\\-3 = \frac{5}{2} + b\\\frac{-6}{2} = \frac{5}{2} + b\\

b = \frac{-11}{2}

so,\\y = \frac{-5}{4}(x) - \frac{11}{2}

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2 years ago
A guy stole $100 from a stores cash register, let's call it Dave's. He bought $70 in groceries, and paid with the $100 bill. The
sergij07 [2.7K]
Well by calculations i would say 100
8 0
3 years ago
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What is 5X minus Y equals 6+ negative 2X plus Y=8
vova2212 [387]

Answer:

For the given expression: X = (\frac{10}{3})  , Y =  (\frac{26}{3})

Step-by-step explanation:

Here, the given expression in statement form is given as:

5 X minus Y equals 6 + negative 2 X plus Y = 8

Now, converting the given statement mathematically, we get:

5X  - Y  = 6 + (-2X) + Y  = 8

Now, considering first  and the last  terms,we get:

5 X - Y  = 8  .... (1)

and , considering second and the last  terms,we get:

6 + (-2X) + Y  = 8 or, -2X  + Y  = 2  ......... (2)

Adding (1) and (2) , we get:

5 X - Y  - 2 X  + Y  = 8 + 2

or, 3 X =  10

or, X = 10/3  = 3.34

Now, 5X - Y = 8

or, 5(\frac{10}{3}) - Y = 8\\ \implies Y = \frac{50}{3} - 8  = \frac{50 - 24}{3}  = \frac{26}{3} \\\implies Y = \frac{26}{3}

Hence, for the given expression:

X = (\frac{10}{3})  , Y =  (\frac{26}{3})

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3 years ago
Q 11 anybody help me please
kenny6666 [7]
It would be -8d + 3w because

-(8d -3w)
you would be multiplying the hole equation by -1
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3 years ago
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If f(x) = 3x^2 – 2x + 4 and g(x) = 5x^2 + 6x – 8, find (f - g)(x).
meriva

Answer:

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