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Stolb23 [73]
4 years ago
5

Fill out the following table. Do you see a pattern? Do you think this will always be true? Why or why not?

Mathematics
1 answer:
olga55 [171]4 years ago
5 0

Answer:

Please see table completed attached

Yes, there are several patterns, since these two trigonometric functions are periodic with same periodicity, and also satisfy the Pythagorean identity for the same angle.

Step-by-step explanation:

Notice that we are asked about a table of trigonometric functions for the so called "special angles" which render values associated with half of the square root of a counting number between 0 and 4:

\frac{\sqrt{0} }{2}=0 \\\frac{\sqrt{1} }{2}=\frac{1}{2} \\\frac{\sqrt{2} }{2}\\ \frac{\sqrt{3} }{2}\\ \frac{\sqrt{4} }{2}=\frac{2}{2} =1

These two trigonometric functions also satisfy the Pythagorean identity for any angle \theta in the unit circle, so the equality to one will always be true:

sin^2(\theta)+cos^2(\theta)=1

They are also periodic functions of period 2\,\pi, so their resulting values will be repeated with that periodicity.

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Step-by-step explanation:

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A cubical reservoir has capacity of 480000 l itters of liquid. If ifs length and breadth are 10m and 8m respectively, find the h
sertanlavr [38]

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3 years ago
Cos2a= 2cos^2a-1 for all values of a<br><br> true or false?
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PLEASE HELP!!
olga_2 [115]

The value of a = 2.17 and b = 1.95.

<h3>What is regression line?</h3>

A regression line is a graphic representation of the regression equation expressing the hypothesized relationship between an outcome or dependent variable and one or more predictors or independent variables;

y=2.01*1.93^{x}

Correlation:

r=0.964

R-squared:

r²=0.9292

Hence, value of a and b is 2.17 and 1.95.

learn more about regression line here:

brainly.com/question/11340674

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