Easy question for points

Mathematics

1 answer:

Nostrana [21]3 years ago

7 0

I used to know this but I’m in middle school now

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Tanx-cotx / sinxcosx =sec^2-csc^2x. Please show all steps.

Katarina [22]

$\bf \cfrac{tan(x)-cot(x)}{sin(x)cos(x)}\implies \cfrac{\frac{sin(x)}{cos(x)}-\frac{cos(x)}{sin(x)}}{sin(x)cos(x)}\implies \cfrac{\frac{sin^2(x)-cos^2(x)}{cos(x)sin(x)}}{\frac{sin(x)cos(x)}{1}}
\\\\\\
\cfrac{sin^2(x)-cos^2(x)}{cos(x)sin(x)}\cdot \cfrac{1}{sin(x)cos(x)}\implies \cfrac{sin^2(x)-cos^2(x)}{cos^2(x)sin^2(x)}
\\\\\\
\textit{and now, we distribute the denominator}
\\\\\\
\cfrac{sin^2(x)}{cos^2(x)sin^2(x)}-\cfrac{cos^2(x)}{cos^2(x)sin^2(x)}\implies 
\cfrac{1}{cos^2(x)}-\cfrac{1}{sin^2(x)}$

and surely you know what that is

3 0

3 years ago

The dimension of the rectangle prism show are given in centimeters 4 cm 3 cm 1.4 cm what is the volume of the rectangular prism

ira [324]

Answer:

<em>16.8 cubic centimeter</em>

Step-by-step explanation:

Dimensions of rectangular prism are:

$4\ cm, 3\ cm , 1.4\ cm$