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
aleksandr82 [10.1K]
3 years ago
15

Half angle tan 5pi/8

Mathematics
1 answer:
Bond [772]3 years ago
4 0
The half-angle formula for tangent is:

tan(a/2) = (sin a / (1 + cos a)) = ((1 - cos a) / sin a)

Now we can plug in values:

tan(5π/8) = (sin(5π/4) / (1 + cos(5π/4)) = ((1 - cos(5π/4)) / sin(5π/4)

tan(5π/8) = (-√2/2) / (1 + (-√2/2)) = (1 - (-√2/2)) / (-√2/2)

tan(5π/8) = ((-√2/2)) / ((2 - √2)/2) = ((2 + √2)/2) / (-√2/2)

Now we can solve the first half:

(-√2/2)(2 / (2 - √2))
(-√2/2)((4 + 2√2) / 2)
(-√2/2)(2 + √2)
(-2√2 - 2)/2
-√2 - 1

tan(5pi/8) = -√2 - 1

You might be interested in
Wyatt is making a salad using tomatoes, cucumbers, and carrots. This table gives the cost, per kilogram, of each ingredient, and
Lina20 [59]

According to the given information, we build the equation for the cost. After we build the equation, the equation that relates these measures is:

C = 0.99 + xy + 0.2z

Cost:

0.3 kilograms of tomatoes, at 3.30 dollars per kilogram.

Thus, the cost starts at:

C = 0.3*3.3 = 0.99

y kilograms of cucumbers, at x dollars per kilogram.

Considering this, the cost will now be of:

C = 0.99 + xy

0.2 kilograms of carrots, at z dollars per kilogram:

Now, we have to consider this for the cost, so:

C = 0.99 + xy + 0.2z

A similar example is given at brainly.com/question/14544759

8 0
3 years ago
Suppose you plan to ride your bicycle from Portland, Oregon, to Seattle, Washington, and back to Portland. The distance between
vaieri [72.5K]

Answer:

if you are going 5 miles pr hour how many feet csn u walk

Step-by-step explanation:

the answer is we doont know

4 0
3 years ago
What is the volume of the following triangular prism?
sergiy2304 [10]

Answer:

<h2>288 ft³</h2>

Step-by-step explanation:

The formula of a volume of a prism:

V=BH

where

<em>B</em><em> - area of a base</em>

<em>H</em><em> - height of a prism</em>

<em />

In the base we have the right treiangle. The formula of an area of a right triangle is:

A=\dfrac{ab}{2}

where

<em>a, b</em><em> - are legs</em>

We have

a=6\ ft,\ b=8\ ft

Substitute:

B=\dfrac{(6)(8)}{2}=\dfrac{48}{2}=24\ ft^2

Calculate the volume.

Substitute

B=24\ ft^2,\ H=12\ ft

V=(24)(12)=288\ ft^3

3 0
3 years ago
Four students were scheduled to give book reports in 1 hour. After the first report, 2/3 hour remained. The next two reports too
Novosadov [1.4K]

Answer:1/4 hour remaining

Step-by-step explanation:

Presenter 1 - 1/3 hour

Presenter 2 - 1/6 hour

Presenter 3 - 1/4 hour

Convert to least common denominator of 12

4/12 + 2/12 + 3/12 = 9/12

12/12 - 9/12 = 3/12

Reduce 3/12 to get 1/4 hour remaining

3 0
3 years ago
Which is one way to check 102 : 6 = 17?
MArishka [77]

Answer:

One way to check is 102 ÷ 6 = 17 is 100 ÷ 5 = 20. 

7 0
3 years ago
Read 2 more answers
Other questions:
  • The equations of three lines are given below.
    14·1 answer
  • Which of the following ratios is equal to 14 : 21?<br><br> (2 : 3) (1 : 3) (2 : 5) (1 : 2)​
    14·2 answers
  • Need help and ASAP again please
    9·2 answers
  • HELPP!!! 2 questions please!
    9·1 answer
  • If y varies directly with x and y = 9 when x = 3, find y when x = 1.
    9·1 answer
  • 20pts for valid answer
    10·1 answer
  • 11. Which equation shows the relationship between x and y graphed below?
    11·1 answer
  • The table provides various values, including all zeroes, of a tangent function f(x) on the interval [-pi, pi]
    12·1 answer
  • What is the area of this traingle of 12 in of height and 3 in of base iready
    5·1 answer
  • I need help solving this
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!