Calcular la velocidad de propagación de una onda que tiene una frecuencia de 60Hz y una longitud de onda de 0.2 m
1 answer:
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Answer:
G7. (2√3)/3
G8. -2+√7
G9. (6 +2√2 -3√3 -√6)/7
Step-by-step explanation:
G7.
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G8.
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G9.
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<em>Comment on the problems</em>
In most cases, these expressions are the simplest possible (take the least amount of ink to draw, and take the fewest math operations to evaluate). What seems to be intended is that the denominator be made a rational number. This is done by multiplying the given fraction by a fraction equal to 1 that has the same denominator but with the sign of the radical reversed (unless, as in the first case, the radical is by itself).
The purpose of doing this is to take advantage of the fact that (a-b)(a+b) = a²-b², so if "a" or "b" is a square root, that root will not be seen in the product. In problem G9, we see this can make the numerator quite messy--not exactly a simpler form--but all the irrational numbers are in the numerator.
I added a screenshot with the head of the question
Answer:
sin (140°)
Explanation:
Angle addition formulas are used to express the trigonometric function in terms of the sum/difference between two angles α and β
These rules are shown in the attached image.
Now, the given expression is::
sin97°cos43°+cos97°sin43°We have:
α = 97°
β = 43°
Comparing the given formula with the general formulas in the image, we would find that the given formula represents the sum of the sin of two angles.
Therefore:
sin97°cos43°+cos97°sin43°
= sin (97°+43°)
= sin (140°)
Hope this helps :)
Answer:
sin (140°)
Explanation:
Angle addition formulas are used to express the trigonometric function in terms of the sum/difference between two angles α and β
These rules are shown in the attached image.
Now, the given expression is::
sin97°cos43°+cos97°sin43°We have:
α = 97°
β = 43°
Comparing the given formula with the general formulas in the image, we would find that the given formula represents the sum of the sin of two angles.
Therefore:
sin97°cos43°+cos97°sin43°
= sin (97°+43°)
= sin (140°)
Hope this helps :)