Mathematics: Prove that: Sinx. cosx (tanx+cotx)=1

Prove that: Sinx. cosx (tanx+cotx)=1 - id113276570, aleklupo3353

Ответ:

kandigirl9990

16.06.2021

$\huge{\mathfrak{hello }}$

$\small{\sin(x) \times \cos(x) \times ( \tan(x) + \cot(x) )}$ $\small{\mathcal{ \sin(x) \cos(x) \times ( \dfrac{ \sin(x) }{ \cos(x) } + \dfrac{cos(x)}{ \sin(x) } )}}$ $\small{\sin(x) \cos(x) \times( \dfrac{ \sin {}^{2} (x) + \cos {}^{2} (x) }{ \sin(x) \cos(x) } )}$ $\small{\sin(x) \cos(x) \times \dfrac{1}{ \sin(x) \cos(x) } }$ ${\hookrightarrow 1}$

I hope it helped.....

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Ответ:

Bloom247

01.02.2021

Mathematics

2nd Option is correct.

Step-by-step explanation:

Given:

Renata has $20 in gift card.

She bought 16 songs.

After purchase Balance in gift card = $0

⇒ Cost of 16 songs = $20

⇒ Cost of 1 song = 20/16 = $ 1.25

let x represent number of songs purchased and y represent balance on her gift card.

So, Cost of x songs = 1.25 × x = 1.25x

And Balance = 20 - 1.25 x

Thus, Required equation representing relationship between balance on gift card and number of song purchased.

y = 20 - 1.25x

1.25x + y = 20

If we multiply both sides of equation with 4, we get

5x + 4y = 80

Therefore, 2nd Option is correct.

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