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Alina [70]
3 years ago
6

Cos³x.tan²x - cosx = ?

Mathematics
1 answer:
melamori03 [73]3 years ago
4 0

tan x = sin x/cos x

cos³ x *tan²x - cos x = cos³x *(sin²x/ cos² x) - cos= cosx*sin²x - cos x =

= cos x(sin² x - 1) = - cos x(1 - sin²x)= - cosx*cos²x = - cos³ x

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During a football game a concession stand sold a family three hamburgers and two hotdogs for a total of $13 it's sold another fa
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Answer:

The price of each hamburger is $3

The price of each hot dogs is $2  .

Step-by-step explanation:

Given as :

The total price of 3 hamburger and 2 hot dogs = $13

The total price of 2 hamburger and 5 hot dogs = $16

Let The price of each hamburger = $x

Let The price of each hot dogs = $y

<u>Now, According to question</u>

3 x + 2 y = 13              .........A

2 x + 5 y = 16              .......B

Now, Solving to eq A and B

3 × (2 x + 5 y ) - 2 × (3 x + 2 y ) = 3 × 16 - 2 × 13

Or, (6 x + 15 y) - (6 x + 4 y) = 48 - 26

Or, (6 x - 6 x) + (15 y - 4 y) = 22

Or, 0 + 11 y = 22

∴  y = \dfrac{22}{11}

i.e y = $2

so, The price of each hot dogs = y = $2

<u>Now, Put the value of y into eq B</u>

i.e 2 x + 5 y = 16

or, 2 x + 5 × 2 = 16

or, 2 x = 16 - 10

or, 2 x = 6

∴  x = \dfrac{6}{2}

i.e x = $3

So, The price of each hamburger = x = $3

Hence, The price of each hamburger is $3 and  The price of each hot dogs is $2  . Answer

3 0
3 years ago
Convert 8 to Base 2​
Lady bird [3.3K]
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5 0
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Help pls<br> Points C, A, and B are collinear. Which of the following are opposite rays?
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Answer:

<h3>A and D </h3>

Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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let x represent one number and let y represent the other number. use the given conditions to write a system of equations. solve
kiruha [24]

9514 1404 393

Answer:

  (x, y) = (8, 2)

Step-by-step explanation:

The relevant equations are ...

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