Mathematics: Simplify the following expression. cot^2x secx-cosx

Simplify the following expression. cot^2x secx-cosx

Ответ:

LuvIsRage2

04.01.2022

Mathematics

ANSWER

$\cos(x) \cot ^{2} (x)$

EXPLANATION

The given expression is;

$\cot^{2} (x) \sec(x) - \cos(x)$

Change everything to

$\sin(x)$

and

$\cos(x)$

This implies that,

$\frac{ \cos^{2} (x) }{ \sin^{2} (x) } \times ( \frac{1}{ \cos(x) } )- \cos(x)$

Cancel the common factors,

$\frac{ \cos(x) }{ \sin^{2} (x) } \times ( \frac{1}{1} )- \cos(x)$

$\frac{ \cos(x) }{ \sin^{2} (x) }- \cos(x)$

$\frac{ \cos(x) - \sin ^{2} (x) \cos(x) }{ \sin^{2} (x) }$

$= \frac{ \cos(x)(1 - \sin ^{2} (x) ) }{ \sin^{2} (x) }$

$= \frac{ \cos(x)(\cos^{2} (x) ) }{ \sin^{2} (x) }$

$= \cos(x) \cot^{2} (x)$

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Ответ:

Kiki18love

29.11.2021

Mathematics

234567897867564534546578679867643564758697687657586976875463564758657463475857564758698576475869857647586976857458699

Step-by-step explanation:

How to solve: add two to the larger value. 97, the last 2 digits of the larger value, plus 2 is 99. Therefore, substitue the 7 for a 9 and there is your answer.

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Simplify the following expression. cot^2x secx-cosx

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