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kondaur [170]
2 years ago
9

Which statement is true about the graph of the equation y=csc^-1(x)​

Mathematics
2 answers:
grandymaker [24]2 years ago
8 0

Answer:

There is a horizontal asymptote at y=0

Step-by-step explanation:

Just took the test (A on edge)

Sloan [31]2 years ago
7 0

Answer:

There is a vertical asymptote at x = 0

Step-by-step explanation:

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Suppose cos(x)= -1/3, where π/2 ≤ x ≤ π. What is the value of tan(2x). EDGE
AVprozaik [17]

Answer:

D

Step-by-step explanation:

We are given that:

\displaystyle \cos x = -\frac{1}{3}\text{ where } \pi /2 \leq x \leq \pi

And we want to find the value of tan(2<em>x</em>).

Note that since <em>x</em> is between π/2 and π, it is in QII.

In QII, cosine and tangent are negative and only sine is positive.

We can rewrite our expression as:

\displaystyle \tan(2x)=\frac{\sin(2x)}{\cos(2x)}

Using double angle identities:

\displaystyle  \tan(2x)=\frac{2\sin x\cos x}{\cos^2 x-\sin^2 x}

Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(<em>x</em>) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:

\displaystyle o=\sqrt{3^2-1^2}=\sqrt{8}=2\sqrt{2}

So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.

From the above information, substitute in appropriate values. And since <em>x</em> is in QII, cosine and tangent will be negative while sine will be positive. Hence:

<h2>\displaystyle  \tan(2x)=\frac{2(2\sqrt{2}/3)(-1/3)}{(-1/3)^2-(2\sqrt{2}/3)^2}</h2>

Simplify:

\displaystyle  \tan(2x)=\frac{-4\sqrt{2}/9}{(1/9)-(8/9)}

Evaluate:

\displaystyle  \tan(2x)=\frac{-4\sqrt{2}/9}{-7/9} = \frac{4\sqrt{2}}{7}

The final answer is positive, so we can eliminate A and B.

We can simplify D to:

\displaystyle \frac{2\sqrt{8}}{7}=\frac{2(2\sqrt{2}}{7}=\frac{4\sqrt{2}}{7}

So, our answer is D.

7 0
3 years ago
Which of the following indicates that AQRS and ATUV are similar?
anyanavicka [17]
B and c are similar to eachother
8 0
2 years ago
Find x <br> Plz help me !!!
mel-nik [20]

Answer:

\Huge\boxed{x=33.2}

Step-by-step explanation:

Hello there!

We can solve for x using law of sines

As we can see in the image a side length divided by sin ( its opposite angle) = a different side length divided by sin ( its opposite angle)

So we can use this equation to solve for x

\frac{21}{sin(35)} =\frac{x}{sin(65)}

Our objective is to isolate the variable using inverse operations so to get rid of sin (65) we multiply each side by sin (65)

\frac{x}{sin(65)} sin(65)=x\\\\\frac{21}{sin(35)} sin(65)=\frac{21sin(65)}{sin(35)}

we're left with

x=\frac{21sin(65)}{sin(35)}\\x=33.18208755

assuming we have to round the answer would be 33.18 or 33.2

7 0
3 years ago
Which equation matches the graph of the absolute value function seen here?
nignag [31]

use a calculator instead of asking

7 0
3 years ago
Compare 7 x 103 and 2 x 103.
vekshin1
The answer is A) 7x103 is 3.5 times larger than 2x103
3 0
3 years ago
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