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Natali5045456 [20]
3 years ago
8

How can you prove: secθ = cscθtanθ

Mathematics
1 answer:
zavuch27 [327]3 years ago
3 0

\sec \theta=\csc \theta\tan \theta\\\\ \dfrac{1}{\cos \theta}=\dfrac{1}{\sin \theta}\cdot\dfrac{\sin \theta}{\cos \theta}\\\\ \dfrac{1}{\cos \theta}=\dfrac{1}{\cos \theta}

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A man shares a $1,200,00 inheritance between his 3 sons in ratio 1: 3: 6. Calculate the difference between the largest share and
soldi70 [24.7K]

A man's inheritance money = $1200

Given :

He shared his inheritance between his 3 sons in the ratio 1:3:6

Then, the money the first son got :

= \tt \frac{1}{10}  \: of  \: 1200

=\tt  \frac{1}{10}  \times 1200

=\tt  \frac{1 \times 120}{10}

= \tt \frac{1200}{10}

\color{plum} =\tt\$ \: 120

▪︎Thus, the first son inherited $120.

Money the second son got :

= \tt \frac{3}{10}  \: of  \: 1200

= \tt \frac{3}{10}  \times 1200

=\tt  \frac{3 \times 1200}{10}

= \tt \frac{3600}{10}

\color{plum} =\tt \$360

▪︎Thus, the second son inherited $360.

Money the third son got :

=\tt  \frac{6}{10}  \: of  \: 1200

=\tt  \frac{6}{10}  \times 1200

= \tt \frac{6 \times 1200}{10}

= \tt \frac{7200}{10}

\color{plum} = \tt\$720

▪︎Thus, the third son inherited $720.

We know that :

The largest share = $720

The smallest share = $120

Difference between the largest and smallest share :

= \tt720 - 120

\color{hotpink}\tt = 600

<h3> ●=> Therefore :</h3>

▪︎<em>The difference between the largest and smallest share = 600</em>

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