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Ronch [10]
3 years ago
11

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.

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A company has recently been hiring new employees. Today the company has 29% more employees than it did a year ago. If there are
mezya [45]

Answer:

27477

Step-by-step explanation:

Subtract 38700 from 29% = 27477.

5 0
2 years ago
Y=5x+2 what point at the y axis
almond37 [142]
I think to find the y - axis you should sub x=0
Therefore, y=5(0)+2
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Hence the answer is (0,2)

I'm sorry if this is wrong!
5 0
3 years ago
1. If one side of the square is 12in, what is the perimeter and area of the parallelogram?
gayaneshka [121]

Answer:

Not sure for 1. Area might be 144. Perimeter might be 50. I got perimeter by finding slant height of the parallelogram and then substituting it to the perimeter formula (P=2(a+b) where a is a side and b is a base). I found area by just multiplying 12*12 since to find area of parallelogram, it is base x height.

2. 45, 135, 135

Step-by-step explanation:

2. We know that an isosceles trapezoid has congruent base angles and congruent upper angles, so if one base angle measures 45 degrees, the other base angle will also be 45 degrees.

For the upper angles, we know that diagonal angles are supplementary, so 180- base angle 1 (45 degrees)= upper angle 1

180-45=upper angle 1

upper angle 1 = 135 degrees

Mentioned above, upper angles are congruent, so upper angles 1 and 2 will be 135 degrees.

Check: The sum of angles in a quadrilateral is equal to 360 degrees. We can use this to check if our answer is correct.

135+135=270 degrees (sum of upper angles)

45+45= 90 degrees (sum of base angles)

270+90=360

So the angle measures of the other three angles are 135, 135, and 45.

Hope this helps!

7 0
2 years ago
A figure has vertices at L(3,3), M(2,4), and N(−1,0). After a transformation, the image of the figure has vertices at L′(2,−5),
alexandr402 [8]

The transformation was a reflection over the line x = -0.5

And the image and preimage can be seen in the graph below.

<h3>How to identify the preimage and image?</h3>

First, the original vertices are:

L(3, 3)

M(2, 4)

N(-1, 0)

3 vertices means that our figure is a triangle.

Now, the transformed vertices are:

L'(2, -5)

M'(3, -4)

N'(-1, 1)

And the graph of both sets can be seen below.

Now we can try to identify the transformation.

Now, notice that all the points (L, M, N, L', N', M') are equidistant to the horizontal line x = -0.5

This is a clear implication that the transformation was a reflection over the line x = -0.5

If you want to learn more about transformations:

brainly.com/question/4289712

#SPJ1

3 0
1 year ago
Alicia, Quentin, and Rosalyn are siblings. Alicia is the oldest sibling. Quentin is four years younger than Alicia. Rosalyn is t
tatiyna

Answer:

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Step-by-step explanation:

Let the age of Alicia be x

Let the age of Quentin be y

Let the age of Rosalyn be z

If the sum of the siblings’ ages, in years, is 48 then;

x+y+z = 48.... 1

If Rosalyn is two years older than Quentin then;

z =y+2 ..... 2

Also if Quentin is four years younger than Alicia then;

y = x-4 ... 3

From 3:

x = y+4 ... 4

Substitute 2 and 4 into 1 to have:

y+4+y+y+2 = 48

3y + 6= 48

3y = 48-6

3y= 42

y = 14

Since x= y+4

x = 14+4

x = 18

Since z = y+2

z = 14+2

z = 16year

This means that;

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

6 0
3 years ago
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