Mathematics: Find the value of the trig functions indicated

Find the value of the trig functions indicated

Ответ:

Byanka032801

18.03.2022

Mathematics

D. ⅘

Step-by-step explanation:

According to the acronym for trig ratio, SOHCAHTOA, we know that:

$sin (\theta) = \frac{opposite}{hypotenuse}$

In the triangle given,

Opposite = √(20² - 12²) = √256 = 16

Hypotenuse = 20

Thus:

$sin (\theta) = \frac{16}{20}$

Simplify

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

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Ответ:

melissa578

19.08.2020

Mathematics

There are a few ways to approach this.

The way that you do not want to do it is you do not want to start by multplying the radicals together. That only works with positive numbers under radicals.

Instead you want to split the negatives from the numbers under the radicals:

$\sqrt{-8}\cdot\sqrt{-27} = \sqrt{-1}\cdot \sqrt{8}\cdot\sqrt{-1} \cdot \sqrt{27}$

This becomes $i\sqrt{8} \cdot i \sqrt{27}$ or $i^2\cdot \sqrt{216}$ .

i^2 =-1 and $\sqrt{216} = 6\sqrt{6}$ ,

making your answer $-6\sqrt{6}$

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Find the value of the trig functions indicated

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