Mathematics: 3sinA=4cosA so find tansquareA_sinsquareA

3sinA=4cosA so find tansquareA_sinsquareA - id348058723, viridianasar5158

letyourmemesbedreams

04.02.2022

Step-by-step explanation:

Do you mean?

$\frac{ { \tan(x) }^{2} }{ \ { \sin(x) }^{2} }$

If so:

$3 \sin(x) = 4 \cos(x) \\ \frac{3 \sin(x) }{ \cos(x) } = 4 \\ \frac{ \sin(x) }{ \cos(x) } = \frac{4}{3} \\ \tan(x) = \frac{4}{3}$

Did the question specify which quadrant? I'm just going to assume that it's the first

(as tangent = opp/adj)

hence

Hypotenuse:

$\sqrt{{3}^{2} + {4}^{2} } = 5$

$\sin(x) = \frac{4}{5}$

Finally,

$\frac{ { \tan(x) }^{2} }{ { \sin(x) }^{2} } = \frac{ { \frac{4}{3} }^{2} }{ { \frac{4}{5} }^{2} } \\ = 2 \frac{7}{9}$

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irene003

08.10.2022

$127.5 was the sale price of the set of kitchen chairs.

Given:

Camille bought a set of kitchen chairs at discounted 25% off of the original price.

The original price of a set of kitchen chairs = $170

To find:

The sale price of the set of kitchen chairs.

Solution:

The original price of a set of kitchen chairs = O.P = $170

The percent of discount on the set of kitchen chairs = d% = 25%

The discount price on the set of kitchen chair= D

$d\%=\frac{D}{O.P}\times 100\\25\%=\frac{D}{\$170}\times 100\\D=\frac{25\times \$170}{100}=\$42.5$

The sales price of a set of kitchen chairs = S.P

$S.P=O.P-D\\=\$170-\$42.5=\$127.5$

$127.5 was the sale price of the set of kitchen chairs.

Learn more about the discount price here:

link

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