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Nata [24]
2 years ago
15

Use the unit circle to find sec (-90)

Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
4 0

Using the unit circle, you can visualise the secant as follows:

  1. Draw the vertical line passing trough (1,0)
  2. Extend the radius until it meets this line at point P
  3. The length of OP is the secant of your angle.

Since -90 means that the radius points downwards, it means that the radius is vertical as well, and thus it never meets the vertical line through (1,0).

Thus, the secant is not defined at -90.

In fact, if we switch back to the function notation, we can confirm this claim, since we have

\sec(x)=\dfrac{1}{\cos(x)}\implies \sec(-90)=\dfrac{1}{\cos(-90)}=\dfrac{1}{0}

which is undefined.

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I have the answer but how do you get to the answer please describe below
iragen [17]

9514 1404 393

Answer:

  1) m = -5/2

  3) m = -1

Step-by-step explanation:

Each equation is in the form ...

  y = mx +b

The coefficient of x is m, the slope of the line.

The constant b is the y-intercept: the value of y when x=0, the point where the line crosses the y-axis.

You are asked for the slope, which is the coefficient of x.

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1) y = -5/2x -5

The coefficient of x is -5/2, so the slope is -5/2.

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3) y = -x +3

The coefficient of x is -1, so the slope is -1.

_____

<em>Additional comment</em>

When you read an English sentence, you make sense of it by figuring out what it is talking about (the subject), and what it is saying about it (the verb). Along the way, there are modifiers that add or change the meaning of these things.

When you read a math sentence, you can make sense of it by looking for the equal sign, and identifying what the expressions are on either side of it. Locate the variables in each of those expressions and see what is being done to them -- what operations are being performed.

When there is a single variable on the left, it is often intended to be the dependent variable. When there is an expression on the right consisting of terms involving math operations, these usually tell you how the dependent variable depends on the independent variable there. The degree (exponent or power) of the independent variable in each term is important to notice.

In these equations, the dependent variable is y; the independent variable is x. The degree of x is 1, which means this is a <em>linear</em> equation and its graph is a straight line. The number that multiplies the variable is its <em>coefficient</em>. In a linear equation, the coefficient of the independent variable is the <em>slope</em> of the line.

In short, you get to the answer by learning how to read the math sentence.

3 0
3 years ago
The fact that sin(150°) = .5 and sin(-150°) = -.5 implies that the sine function is which type of function?
kogti [31]
Answer: Choice A) Odd

The function sin(x) is odd because sin(-x) = -sin(x) for all values of x

As the example shows, sin(150) = 0.5 and sin(-150) = -0.5, so this shows sin(-150) = -sin(150).
7 0
2 years ago
Select ALL of the expressions that are equivalent to 3(8-4x)
Elina [12.6K]

Step-by-step explanation:

24-12x,and 2(12-6x)

hope it helps

8 0
3 years ago
-3|x-4|=21 solve and show work
wariber [46]

Answer: If you are solving for x, then thee is no solution

Step-by-step explanation:

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2 years ago
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Answer:

false

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8 0
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