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tino4ka555 [31]
3 years ago
14

Yea lol how do u do this

Mathematics
1 answer:
seropon [69]3 years ago
3 0
Hello!!

So what they are giving you is the x,y coordinate of the terminal side of an angle. Meaning 4,10 is the point x=4 and y= 10.
So if we have that, then we can solve for the quadrant that the angle falls in. So for two positive values it tells us it falls in quad 1.

So we have x and y so now use x^2+y^2=h^2 to solve for hypotenuse.

So we get h=sqrt(4^2+10^2)= sqrt(116) or 2*sqrt(29).

Now knowing our trig identities.
Sin= y/h
Cos=x/h
Tan=y/x
Csc=h/y=1/sin
Sec=h/x=1/cos
Cot=x/y=1/tan

So now we have
X=4 Y=10 H=2*sqrt(29)

Now we just use the above identities and plug and chug for your answers. Doing the same one point(4,10)
Sin=10/2*sqrt(29)= (5*sqrt(29))/29
Cos=4/2*sqrt(29)= (2*sqrt(29))/29
Tan=10/4=5/2
Sec=2*sqrt(29)/10= sqrt(29)/5
Csc=2*sqrt(29)/4= 2*sqrt(29)/2
Cot=4/10= 2/5

Now do the same thing as above for all sets of your questions.

Hope this helps!! Any questions please just ask! Thank you so much!
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COMPLEX NUMBERS AND DEMOIVRE'S THEOREM: HELP ASAP
alisha [4.7K]

Answer:

a = 0, b = -15

Step-by-step explanation:

Given two complex number Z1=3cispi and z2=5cis(pi/2)

In polar form;

z1 = 3(cospi + isinpi)

z1 = 3(-1+i0)

z1 = -3+0i

Z2 =  5(cospi/2 + isinpi/2)

Z2 = 5(0+i)

Z2 = 0+5i

Z1*Z2 =  (-3+0i)(0+5i)

Z1*Z2 = 0 - 15i +0i + 0i²

Z1*Z2 = 0-15i

comparing 0-15i with a + bi;

a = 0 and b = -15

8 0
2 years ago
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
Kryger [21]

Answer:

The first, second, and fifth statements are correct.

Step-by-step explanation:

We are given a circle with the equation:

x^2+y^2-2x-8=0

And we want to select the statements that are true.

First, we can convert the equation into standard form. We can group each variable:

(x^2-2x)+(y^2)=8

And complete the square for the first term:

(x^2-2x+1)+(y^2)=8+1

Factor and simplify:

(x-1)^2+y^2=9

We can rewrite our equation as:

(x-(1))^2+(y-(0))^2=(3)^2

So, this tells us that we have a circle centered on (1, 0) with a radius of 3 units.

In this case, the first statement, second statement (the point (1,0) is on the x-axis), and fifth statements are correct (the square root of 9 is also 3).

8 0
3 years ago
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Someone do this worksheet I’ll give u brainlist and 20 points(SHOW ALL WORK) on a piece of paper!!!
zloy xaker [14]

Answer:

your question is not clear

3 0
3 years ago
A group of students are planning a mural at a wall the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning
zvonat [6]

Answer: 46x^2+73x+15

Step-by-step explanation:

The area of a rectangle can be calculated with the formula:

A=lw

l: the length of the rectangle.

w: the width of the rectangle.

The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.

Knowing that the dimensions of the wall are (6x+7) by (8x+5), its area is:

A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35

As they are planning that the dimensions of the mural be (x+4) by (2x+5), its area is:

A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20

Then the area of the remaining wall after the mural has been painted is:

A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15

8 0
3 years ago
Evaluate the function for the given value: f(x)=2x (to the power of 2) -5x-17, find f(-3)
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Answer:

f(-3) = 16

Step-by-step explanation:

You substitute -3 to x.

f(-3) = 2(-3)² - 5(-3) - 17

f(-3) = 16.

As for the coordinates, the coordinates plotted in the graph above are (1,-1) and (2,-2).

7 0
3 years ago
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