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
notka56 [123]
3 years ago
5

Use a half-angle identity to find the exact value of sinPi/8

Mathematics
2 answers:
Vlad1618 [11]3 years ago
6 0

Answer:

Step-by-step explanation:

hello :

look this solution :

stellarik [79]3 years ago
5 0

Answer:

  sin(π/8) = (1/2)√(2-√2)

Step-by-step explanation:

Using the half-angle formula ...

  \sin{\dfrac{\theta}{2}}=\sqrt{\dfrac{1-\cos{\theta}}{2}}

We can let θ = π/4 and simplify the result as follows:

  \sin{\dfrac{\pi}{8}}=\sqrt{\dfrac{1-\cos{(\pi/4)}}{2}}=\sqrt{\dfrac{1-\dfrac{\sqrt{2}}{2}}{2}}=\sqrt{\dfrac{2-\sqrt{2}}{4}}\\\\=\boxed{\dfrac{1}{2}\sqrt{2-\sqrt{2}}}}

You might be interested in
Simplify 2x - 3(-4x + 2 )
OleMash [197]
<span>2x - 3(-4x + 2 )
2x+12x-6
14x-6
2(7x-3)</span>
8 0
3 years ago
Read 2 more answers
Which of the following numbers is rational but not an integer <br> A.0<br> B.3<br> C.-9<br> D.-4.3
Mashutka [201]

Answer:

Thus, every integer is a rational number. Clearly, 3/2,-5/3, etc. are rational numbers but they are not integers. Hence, every integer is a rational number but a rational number need not be an integer.

Step-by-step explanation:

7 0
3 years ago
Sarah would like to make a 6 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of a mixture that is 80%
weeeeeb [17]

Answer: a. The system that models this situation is,

x + y = 6 , 8 x + 5 y = 36.

b. Solution is x = 2lb and y = 4lb

where x is the quantity of 80% of peanuts mixture mix with y quantity of 50% of peanuts mixture for making 60% of peanuts mixture.

Step-by-step explanation:

Let x quantity of 80% of peanuts mixture mix with y quantity of 50% of peanuts mixture for making 60% of peanuts mixture.

Then According to the question,

x + y = 6      --------- (1)

And, 80 % of x + 50 % of y = 60 % of 6

⇒ 0.8 x + 0.5 y = 3.6

⇒ 8 x + 5 y = 36  --------- (2)

Where equation 1) and equation 2) are the required equation which models the given situation.

Now, 8 × equation 1)

We get, 8 x + 8 y = 48 ----------(3)

equation (3) - equation (2)

we get, 3 y = 12

⇒ y = 4

By putting the value of y in equation (2)

we get, x = 2

Thus, he mixed 2 lb of mixture 80/20  and 4 lb of mixture 50/50 for making 6 lb of 50/50 mixture.


4 0
3 years ago
To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before ad
ludmilkaskok [199]

Answer:

its c

Step-by-step explanation:

bro bro if anyone did that's stuff laugh at them and move on with ur life dont let people like them ruin your motivation to move forward there the type of toxic people to hold u back but like i said the girls got u bro

5 0
3 years ago
Read 2 more answers
Evaluate the expression if a = 3, b = 5, and c = 6.<br> c^2 + 3a × b
vladimir1956 [14]

Answer:

<h3> 81 is your answer.☺</h3>

Step-by-step explanation:

a = 3, b = 5, and c = 6

c^2 + 3a × b

6^2 + 3(3) × 5

36+9×5

36+45

81 => Ans

Hope this helps

Keep Smiling :)

4 0
3 years ago
Other questions:
  • Hallie hikes 5 miles in 90 minutes.
    9·2 answers
  • Please help with this question
    11·1 answer
  • Write a division algebra equation that has a solution of 42
    9·1 answer
  • Find the sum of the digits of the number 6+66+666+6666 + ... +666...66, where the last number contains 100 digits.
    12·1 answer
  • What is the next in the sequence 10 12 22 34 56 90
    7·1 answer
  • Please help me idk this
    13·2 answers
  • TRP = QSP if T = 32, R=46, and P = 10x+6 find S
    8·1 answer
  • Five friends including Marlon, purchased two boxes of pizzas. They equally shared the pizza among themselves. How much pizza did
    14·1 answer
  • 18. Find the length of the segment indicated. Round your answer to the
    14·2 answers
  • Please help I need to know what 100x 2 is thanks
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!