All categories

3 years ago

If (tan^3 theta -1) / (tan theta - 1) - sec^2 theta +1 = 0, find cot theta.

Mathematics

2 answers:

stiv31 [10]3 years ago

7 0

Hey there !

Check the attachment.
Hope it helps you :)

anzhelika [568]3 years ago

3 0

Answer:

Option A. $cot\theta = -1$

Step-by-step explanation:

$\frac{tan^{3}\theta -1}{tan\theta -1}-sec^{2}\theta +1=0$

we have to the value of $cot\theta$

We further solve the equation

$\frac{(tan\theta -1)(tan^{2}\theta +1+tan\theta )}{(tan\theta -1)}-sec^{2}\theta+1=0$ [a³- b³= (a-b)(a² + b²+ ab)]

$sec^{2}\theta +tan\theta -sec^{2}\theta +1=tan\theta +1=0$

$\frac{1}{cot\theta }=-1$

$cot\theta = -1$

Therefore Option A. $cot\theta = -1$ is the answer.

You might be interested in

Find M<1 A. 12.71 degrees B. 15 degrees C. 74 degrees D. 106 degrees

Daniel [21]

It is 74 degrees because those two equations equal each other and you must cancel them out which equals x=15. plug 15 in to one of the equations and you have the answer.

5 0

3 years ago

The probability that an international flight leaving the United States is delayed in departing (event D) is .29. The probability

Blizzard [7]

Answer:

$P(D|P)= \frac{0.11}{0.59}=0.186$

Step-by-step explanation:

For this case we have defined the following events:

D= "An international flight leaving the United States is delayed in departing"

P="An international flight leaving the United States is a transpacific flight "

And we have defined the probabilities:

$P(D)= 0.29 , P(P) = 0.59$

And for the event: "an international flight leaving the U.S. is a transpacific flight and is delayed in departing" $D \cap P$ we know the probability:

$P(D \cap P) =0.11$

We want to find this probability:

What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight

So we want this probability:

$P(D|P)$

And we can use the conditional formula from the Bayes theorem given two events A and B:

$P(A|B) = \frac{P(A \cap B)}{P(B)}$

And if we use this formula for our case we have:

$P(D|P)= \frac{P(D \cap P)}{P(P)}$

And if we replace the values we got:

$P(D|P)= \frac{0.11}{0.59}=0.186$

6 0

3 years ago

Scenario: The Cannon Instructions: View the video found on page 1 of this Journal activity. Using the information provided in th

Artyom0805 [142]

Answer:

Part A

Yes

Part B

He will land at a point 30 meters from Cannon

Step-by-step explanation:

Part A

The given function that represent the path of the Cannon, which is the path of a parabolic arc, is presented as follows;

f(x) = -0.05·(x² - 26·x - 120)

We note that the height, 'h', of the path of a parabola at a horizontal distance, 'x' from the origin is equal to f(x)

Therefore, given that at the ground level, at the start and end of the flight, the f(x) = 0, we can write;

-0.05·(x² - 26·x - 120) = 0

∴ x² - 26·x - 120 = 0

x = (26 ± √((-26)² - 4 × 1 × (-120)))/(2 × 1)

Which gives;

x = 30 or x = -4

Therefore, he lands at a point 30 meters from the starting point

Therefore, the function gives enough information to tell where he will land

Part B

He lands at the point, x = 30 from the point the cannon was fired.

3 0

3 years ago

Write the slope intercept form of the equation.

Elza [17]

Hello!

The slope intercept form equation is shown below.

y=mx+b

In this equation, m represents the slope and b is the y-intercept.

We can just plug in our numbers to find our answer.

y=3x-2

I hope this helps!

4 0

3 years ago

Given q(x)=3x and r(x)=x2. What is (r∘q)(2)? 36 10 12 24

zmey [24]

Answer:

the answer would be 36.

Step-by-step explanation:

and here go you would get it

R(-5) = -3*(-5) - 4

R(-5) = 15 - 4

R(-5) = 11

Q(X)=3X+3

Q(11) = 3*11 + 3

Q(11) = 33 + 3

Q(11) = 36

So, (Q(R(-2) = 36

hope it is correct..

3 0

3 years ago