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PIT_PIT [208]
3 years ago
7

IM DUMB,Need someone SMART to help with TRIGONOMETRY​

Mathematics
1 answer:
cricket20 [7]3 years ago
7 0

Answer:

x = 65.4

The answer is 65.4 degrees.

Step-by-step explanation:

You can use either sine, cosine, or tangent to find the measure of angle x, but since the lengths of the adjacent leg and the hypotenuse are already given, cosine will be the easiest to use. The adjacent leg is 5 units long, and the hypotenuse is 12 units long.

Remember, cos(x) = adjacent / hypotenuse.

cos(x) = 5/12

cos^{-1}( ) both sides

cos^{-1}(cos(x)) = cos^{-1}(5/12)

Simplify (cos^{-1}(cos(x)) ⇒ x)

x = cos^{-1}(5/12)

Use calculator (make sure it is in degrees, not radians)

x = 65.37568165...

Round to the nearest tenth

x = 65.4

I hope this helps.

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Answer:

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Step-by-step explanation:

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3 years ago
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The answers in my textbook show that using Soh Cah Toa is not right. Unless I'm doing it wrong. Can someone help me please?
Fiesta28 [93]

Answer:

(a) α = 60°, β = 30°

(b) α ≈ 67.4°, β ≈ 22.6°

Step-by-step explanation:

I'll do (a) and (b) as examples.  Make sure your calculator is set to degrees, not radians.

(a) For α, we're given the opposite and adjacent sides, so use tangent.

tangent = opposite / adjacent

tan α = √300 / 10

tan α = √3

α = 60°

Since angles of a triangle add up to 180°, we know that β = 30°.  But we can use tangent again to prove it:

tan β = 10 / √300

tan β = 1 / √3

tan β = √3 / 3

β = 30°

(b) For α, we're given the adjacent side and the hypotenuse.  So use cosine.

cos α = adjacent / hypotenuse

cos α = 15 / 39

cos α = 5 / 13

α ≈ 67.4°

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sin β = 15 / 39

sin β = 5 / 13

β ≈ 22.6°

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