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Radda [10]
3 years ago
5

Help please? I can’t figure out how to find the value of each trig ratio.

Mathematics
1 answer:
earnstyle [38]3 years ago
6 0

Answer:

51.34

Step-by-step explanation:

First, things first, identify the <em>opposite</em>, <em>adjacent</em>, and <em>hypotenuse</em>.

Since you are trying to find the value of <em>x</em>, the length measuring 4 is the adjacent because it is one of the lengths that creates that angle measure you are trying to find. 5 is the <em>opposite</em> because the angle is on the opposite side of the length. The \sqrt{41} is the hypotenuse.

Now, which trig equation do you want to use?

sin(x) = opposite / hypotenuse

cos(x) = adjacent / hypotenuse

tan(x) = opposite / adjacent

Let's first try solving with sine.

sin(x) = 5/\sqrt{41}

Since you want to find the angle, you have to use the sin^{-1} (\frac{5}{\sqrt{41}} )=x

Plug it into your calculator, then you should get something like this: 51.34019175.

That is the angle measurement of <em>x</em>.

Let's use cosine.

cos(x) = 4/\sqrt{41}

Again, since you want to find the angle, you have to use the cos^{-1} (\frac{4}{\sqrt{41}} )=x

Plug it into your calculator, then you should get something like this: 51.34019175.

You realize that it gave the same answer, right? Yep, let's also do tangent.

tan(x) = 5/4

Again, since you want to find the angle, you have to use the tan^{-1}(\frac{5}{4}} )=x

Type it into the calculator and you should get 51.34019175 again!

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