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3 years ago

Find the value of the trigonometric ratio. Simplify the ratio if possible.

Mathematics

1 answer:

Lana71 [14]3 years ago

6 0

Answer:

Tan B = 15 / 8

Step-by-step explanation:

Giveb the triangle :

The hypotenus :

Using Pythagoras rule :

Hypotenus² = 15² + 8²

Hypotenus² = 225 + 64

Hypotenus = 17

Tan B:

Using the trigonometric relation :

Tan B = opposite / Adjacent

Tan B = 15 / 8

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Hatshy [7]

For this case we have the following expression:

$(\sqrt {12} +6) (- \sqrt {8} - \sqrt {2})$

We apply distributive property:

$(\sqrt {12} * - \sqrt {8}) + (\sqrt {12} * - \sqrt {2}) + (6 * - \sqrt {8}) + (6 * - \sqrt {2} ) =\\- \sqrt {96} - \sqrt {24} -6 \sqrt {8} -6 \sqrt {2} =$

We rewrite in equivalent form:

$- \sqrt {4 ^ 2 * 6} - \sqrt {2 ^ 2 * 6} -6 \sqrt {2 ^ 2 * 2} -6 \sqrt {2} =\\-4 \sqrt {6} -2 \sqrt {6} -6 * 2 \sqrt {2} -6 \sqrt {2} =$

$-4 \sqrt {6} -2 \sqrt {6} -12 \sqrt {2} -6 \sqrt {2} =\\-6 \sqrt {6} -18 \sqrt {2}$

Answer:

$-6 \sqrt {6} -18 \sqrt {2}$

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sattari [20]

Answer:

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