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shusha [124]
3 years ago
8

Is square root 1 minus sine squared theta = cos Θ true? If so, in which quadrants does angle Θ terminate?

Mathematics
2 answers:
MArishka [77]3 years ago
7 0
√(1-sin^2(theta))= cos(theta)
If we square the equation, than we have:
1-sin^2(theta) = cos^2(theta)
sin^2(theta) + cos^2(theta) = 1 which is TRUE.
<span>The another answer is in the quadrants where sine is positive: I, IV
</span>That leads to the answer: B
Cloud [144]3 years ago
6 0

Answer:

True; quadrants I & IV

Step-by-step explanation:

We know the relation between sine and cosine function which is given by

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

Let us solve this equation for cosine function.

\cos^2 \theta = 1-\sin^2 \theta

Take square root both sides. When ever we take square root we need to write the solution in plus minus form

\sqrt{\cos^2 \theta}=\pm\sqrt{1-\sin^2 \theta}

\cos \theta=\pm\sqrt{1-\sin^2 \theta}

\cos \theta=-\sqrt{1-\sin^2 \theta}, \sqrt{1-\sin^2 \theta}

If Θ is in quadrants I and IV then the value will be positive and if Θ is in II and III quadrant then the value is negative.

Hence, if Θ is in quadrants I & IV, then we have

\cos \theta=\sqrt{1-\sin^2 \theta}

Thus, the correct option is: True; quadrants I & IV


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Sanchez applied 6 fluid Ounces of an herbicide per acre on 300 acres of com. How many gallons
kumpel [21]

Answer:

Sanchez applied 1,800 fluid ounces of herbicide to his 300 acres of corn.

Step-by-step explanation:

Let's identify what we already know:

1) Sanchez has 300 acres of corn

2) For every 1 acre, Sanchez applies 6 fluid ounces of an herbicide.

So, we need to figure out how many fluid ounces Sanchez used for the entire six acres. We can create a formula for this:

300 acres x 6 fluid ounces = x

x equals total number of fluid ounces. We multiple the number of acres by the fluid ounces, to get 1,800 fluid ounces for the entire 300 acres of corn.

3 0
3 years ago
Henry and his mom is making cupcakes for the PTA meeting the have to make 60 cupcakes but the PTA only needs 40 and it’s Henry b
Alex73 [517]

Answer:

70

Step-by-step explanation:

4 0
2 years ago
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Select the appropriate linear equation for the trend line.
Maksim231197 [3]

Answer:

A y = x + 1

Step-by-step explanation:

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4 0
2 years ago
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Mathematically verify the outlier(s) in the data set using the 1.5 rule.
statuscvo [17]

Given:

The data values are:

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

To find:

The outliers of the given data set.

Solution:

We have,

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

Divide the data set in two equal parts.

(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)

Divide each parenthesis in two equal parts.

(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)

Now,

Q_1=\dfrac{11+13}{2}

Q_1=\dfrac{24}{2}

Q_1=12

And

Q_3=\dfrac{16+16}{2}

Q_3=\dfrac{32}{2}

Q_3=16

The interquartile range is:

IQR=Q_3-Q_1

IQR=16-12

IQR=4

The data values lies outside the interval [Q_1-1.5IQR,Q_3+1.5IQR] are known as outliers.

[Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)]

[Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6]

[Q_1-1.5IQR,Q_3+1.5IQR]=[6,22]

All the data values lie in the interval [6,22]. So, there are no outliers.

Hence, the correct option is 4.

3 0
3 years ago
Help with this question.<br> What is sin 30*?
masha68 [24]
Sin 30 = O/H = 1/2
So Sin 30 = 1/2
5 0
2 years ago
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