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Andru [333]
2 years ago
13

Given sin A =11\61 and that angle A is in Quadrant I find the exact value of tan A in simplest radical form using a rational den

ominator
Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
3 0

Answer:

Therefore,

\tan A=\dfrac{11}{60}

Step-by-step explanation:

Given:

\sin A=\dfrac{11}{61}

A is in I Quadrant

To Find:

\tan A = ?

Solution:

Using Identity

\sin^{2}A+\cos^{2}A=1

Now Substitute Sin A we get

(\dfrac{11}{61})^{2}+\cos^{2}A=1\\\\\cos^{2}A=1-\dfrac{121}{3721}=\dfrac{3600}{3721}\\\\\cos A=\pm\sqrt{\dfrac{3600}{3721}}\\\\\cos A=\dfrac{60}{61}

As 'A' is in First Quadrant Cos A is Positive

Now Tan identity we have

\tan A=\dfrac{\sin A}{\cos A}

Now Substitute Sin A and Cos A  we get

\tan A=\dfrac{\dfrac{11}{61}}{\dfrac{60}{61}}\\\\\tan A=\dfrac{11}{60}

Therefore,

\tan A=\dfrac{11}{60}

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Answer:

19 beers must be sampled.

Step-by-step explanation:

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The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.

This means that \sigma = 0.26

If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?

This is n for which M = 0.1. So

M = z\frac{\sigma}{\sqrt{n}}

0.1 = 1.645\frac{0.26}{\sqrt{n}}

0.1\sqrt{n} = 1.645*0.26

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Given a paragraph in which there are blanks:

A _____ is a number whose only factors are 1 and itself. If a number has  factors besides 1 and itself, it is called a _____. You can use divisibility rules or _______ to help you determine whether a number is prime or composite.

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