Mathematics: Simplify the expression. quantity one minus sine of x to the second power divided by quantity sine of x minus cosecant of x

Simplify the expression. quantity one minus sine

Ответ:

sharonbullock9558

03.01.2022

$\bf sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)
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csc(\theta)=\cfrac{1}{sin(\theta)}
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-----------------------------\\\\
\cfrac{1-sin^2(x)}{sin(x)-csc(x)}\implies \cfrac{cos^2(x)}{sin(x)-\frac{1}{sin(x)}}\implies \cfrac{cos^2(x)}{\frac{sin^2(x)-1}{sin(x)}}
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\cfrac{cos^2(x)}{1}\cdot \cfrac{sin(x)}{sin^2(x)-1}\implies \cfrac{cos^2(x)}{1}\cdot \cfrac{sin(x)}{-[1-sin^2(x)]}
\\\\\\
\cfrac{cos^2(x)sin^2(x)}{-cos^2(x)}\implies -sin(x)$

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Ответ:

deagupta

28.06.2020

Mathematics

55% = 55/100

We need to multiply the original prize and the reduced value.
75*55/100 = 41,25$

The prize has been reduced by 55% so we need to substract this value from the original prize to get the prize after reduction.

75$ - 41,25$ = 33,75$

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Simplify the expression. quantity one minus sine of x to the second power divided by quantity sine of x minus cosecant of x

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