4 years ago

30 pts MATH PROBLEM AGAIN!! A trick coin is designed to land heads up with a probability of 80%

Mathematics

1 answer:

goldenfox [79]4 years ago

8 0

I think d is the answer

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Evaluate tan(cos^-1 3/5) and assume that all angles are in Quadrant I.

lorasvet [3.4K]

Answer:

Option c

Step-by-step explanation:

We assume that the angle is in the first quadrant.

Observe the attached image.

if $u = cos ^{-1}(\frac{3}{5})$

So:

$cosu = \frac{3}{5}$

By definition:

$cosu= \frac{adjacent}{hypotenuse}$

So:

adjacent side = 3

hypotenuse = 5.

Observe the attached image

We find the opposite side "x" using the Pythagorean theorem.

$x=\sqrt{5^2 -3^2} \\x = 4$

Then, for the angle u:

$tanu = \frac{opposite}{adjacent}\\\\tanu = \frac{x}{3}\\\\tanu = \frac{4}{3}$

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3 years ago

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diamong [38]

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Step-by-step explanation:

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Step-by-step explanation:

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