All categories

3 years ago

Find the exact value of the composition. arccos (cos pi/2)

1 answer:

6 0

<span>arccos (cos pi/2)=?
</span>cos pi/2=0, arccos (0)=?, we know that cos pi/2=0, so cos^-1 (o)= Pi/2, but cos^-1 (o)=arccos (0), so arccos (cos pi/2)=Pi/2

You might be interested in

I need help with this practice problem solving This is trigonometry from my ACT prep guide

Novay_Z [31]

Take into account, that in general, a cosine function of amplitude A, period T and vertical translation b, can be written as follow:

$f(x)=A\cos (\frac{2\pi}{T}x)+b$

In the given case, you have:

A = 4

T = 3π/4

b = -3

By replacing you obtain:

$\begin{gathered} f(x)=4\cos (\frac{2\pi}{\frac{3\pi}{4}}x)-3 \\ f(x)=4\cos (\frac{8}{3}x)-3 \end{gathered}$

Hence, the answer is:

f(x) = 4cos(8/3 x) - 3

6 0

1 year ago

What is the result of the operation

Anna35 [415]

Answer:

Step-by-step explanation:

-2*-3=6 -2*5=-10. -2*1=-2

-2*8=-16. -2*-2=4. -2*3=-6

-2*2=-4. -2*1=-2. -2*-4=8

6 0

3 years ago

The average of two numbers is 10.What is the sum of the two numbers?

geniusboy [140]

The sum of the numbers is 20 10+10=20 20/2=10

5 0

3 years ago

Read 2 more answers

Of the 1,640 students enrolled at a school, 50% come to school by bus, 35% come by car, and the rest of the students walk home.

ehidna [41]

So first we need to find what percent of the students walk to school.

50 + 35 = 85% don't walk leaving only 15% that walk to school,

To find the 15% percent that DO walk we multiply .15 by the total number of people.

.15 x 1640 = 246 people walk to school

3 0

3 years ago

Read 2 more answers

A half-filled cylindrical water tank has a water level of 20 feet high. The tank can hold 6000 cubic feet of water. Find the dia

Anettt [7]

Answer:

d = 13.8 feet

Step-by-step explanation:

Because we are talking about cubic feet of water, we need the formula for the VOLUME of a cylinder. That formula is

$V=\pi r^2h$

We will use 3.141592654 for pi; if the tank HALF filled with water is at 20 feet, then the height of the tank is 40 feet, so h = 40; and the volume it can hold in total is 6000 cubic feet. Filling in then gives us:

$6000=(3.141592654)(r^2)(40)$

Simplify on the right to get

$6000=125.6637061r^2$

Divide both sides by 125.6637061 to get that

$r^2=47.74648294$

Taking the square root of both sides gives you

r = 6.90988299

But the diameter is twice the radius, so multiply that r value by 2 to get that the diameter to the nearest tenth of a foot is 13.8

5 0

3 years ago