1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alexandr1967 [171]
2 years ago
15

- Use the unit circle to evaluate the six trigonometric functions of theta= 4pi

Mathematics
1 answer:
Helen [10]2 years ago
8 0
<h2> The six trigonometric functions, \sin \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}}, \cos \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}},\tan \dfrac{\pi}{4} =1, \cot \dfrac{\pi}{4} =1, \sec \dfrac{\pi}{4} =\sqrt{2} and \csc \dfrac{\pi}{4} =\sqrt{2}.</h2>

Step-by-step explanation:

We have,

\dfrac{\pi}{4}

To write the six trigonometric functions = ?

\sin \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}}

\cos \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}}

\tan \dfrac{\pi}{4} =1

\cot \dfrac{\pi}{4} =1

\sec \dfrac{\pi}{4} =\sqrt{2}

\csc \dfrac{\pi}{4} =\sqrt{2}

∴ The six trigonometric functions, \sin \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}}, \cos \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}},\tan \dfrac{\pi}{4} =1, \cot \dfrac{\pi}{4} =1, \sec \dfrac{\pi}{4} =\sqrt{2} and \csc \dfrac{\pi}{4} =\sqrt{2}.

You might be interested in
A hot air balloon went from an elevation of 6,678 feet to an elevation of 3,438 feet in 48 minutes. What was its rate of descent
gregori [183]

Answer:

The rate  of descent is -67.5\frac{feet}{minute}

Step-by-step explanation:

we know that

The formula to calculate the rate or slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

Let

x------> the time in minutes

y----> the elevation in feet

we have

A(0,6,678)\ B(48,3,438)

Substitute the values

m=\frac{3,438-6,678}{48-0}

m=\frac{-3,240}{48}

m=-67.5\frac{feet}{minute}

4 0
3 years ago
A hunter spots a bird on a branch of a tree 8m high. If the hunter is 6m away from the foot of the tree. Find the length between
forsale [732]

Answer:

The length is 2m

Step-by-step explanation:

Subtract the distance of the hunter and the bird and you have your answer, 2 meters

5 0
3 years ago
Help I need to get this
Mariulka [41]

Which of the following is NOT discussed in this excerpt?

A.

One can follow certain steps to learn to improve the quality of one’s life.

B.

Men are too easily lured by monetary gain.

C.

Authors have not addressed how humankind should earn a living through their literature.

8 0
2 years ago
The speed of one type of bullet is 200 meters per second. How long would it take the bullet to travel 5,000 meters?
bekas [8.4K]
To solve this problem, we have to find how long it will take the bullet to travel 5,000 meters.  We know that it travels 200 meters per second.

Therefore, if you divide 5,000 meters/200 meters per second, it will give you how many seconds it will take the bullet to travel 5,000 meters.

5,000/200 = 25

Therefore, it will take 25 seconds for the bullet to travel 5,000 meters.
8 0
2 years ago
G(x)=-4+7 rate of change
Ratling [72]
What exactly are you trying to find but I tried to do the problem and I got 3
6 0
3 years ago
Other questions:
  • What is the surface area of the triangular pyramid?
    9·2 answers
  • Item
    14·1 answer
  • A restaurant reports a net income of -1,242 over a three month period. What is the average income per month for that period, (Pl
    10·1 answer
  • Does Someone Know The Answer To This ?
    12·1 answer
  • 5(3x + 4 – x) A. 14x + 4 B. 10x + 20 C. 10x + 4 D. 14x + 20
    7·2 answers
  • . <br> What is the coefficient of the xy-term in the expression 4x+5xy–2y?
    14·1 answer
  • 1. Put the following numbers in order from least to greatest: 0.8, 1/10, 3/100, 0.91
    6·1 answer
  • 2xy+3x+4x+3 if x =5 and y = -5
    12·1 answer
  • Petra runs 2 miles in 22 minutes. How long would it take her to run 12 miles?
    13·2 answers
  • Part B
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!