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
Andrej [43]
3 years ago
5

Simplify without using the calculator or the sin tables.​

Mathematics
1 answer:
katovenus [111]3 years ago
7 0

Answer:

1/8

Step-by-step explanation:

sin²(π/8) − cos⁴(3π/8)

Use power reduction formulas:

1/2 (1 − cos(2×π/8)) − 1/8 (3 + 4 cos(2×3π/8) + cos(4×3π/8))

Simplify:

1/2 (1 − cos(π/4)) − 1/8 (3 + 4 cos(3π/4) + cos(3π/2))

1/2 (1 − √2/2) − 1/8 (3 + 4 (-√2/2) + 0)

1/2 − √2/4 − 1/8 (3 − 2√2)

1/2 − √2/4 − 3/8 +√2/4

1/2 − 3/8

1/8

You might be interested in
What is the first step in describing what figure results when a given plane intersects a given three-dimensional figure
mafiozo [28]
There are three possible results when a plan intersects with a three-dimensional figure and these are:
a point
a line
a plane

The first step in describing the result is to determine first how the plane and the figure intersects.
3 0
3 years ago
The ages of the people who attend a weekly yoga class at the local yoga studio are shown in the table below.
Igoryamba

Answer:

b

Step-by-step explanation:

4 0
3 years ago
Alice found the area of the figure by breaking apart it apart where the dashed line is drawn. Her work is shown below. area of r
Alex Ar [27]

Answer:

We're no strangers to love

You know the rules and so do I

A full commitment's what I'm thinking of

You wouldn't get this from any other guy

I just want to tell you how I'm feeling

Gotta make you understand

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

And if you ask me how I'm feeling

Don't tell me you're too blind to see

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

Ooh, give you up

Ooh, give you up

(Ooh) Never gonna give, never gonna give (Give you up)

(Ooh) Never gonna give, never gonna give (Give you up)

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

I just want to tell you how I'm feeling

Gotta make you understand

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Step-by-step explanation:

you just got rick rolled

5 0
3 years ago
Read 2 more answers
3x-8y=24 <br> y=x-8<br> Please show <br> work
In-s [12.5K]

Answer:

3x - 8y = 24   --------(1)

y = x - 8  ---------(2)

substitute  y in (1)

3x - 8( x - 8) = 24

3x - 8x + 64 = 24

-5x = 24 - 64

-5x = -40

5x = 40

x= 8

substitute x in (2)

y = 2 - 8

y = - 6

4 0
3 years ago
Read 2 more answers
Reduce the 24 hour clock times in 12 hour clock time add am or pm
Shkiper50 [21]

Answer:

1) 1:04 am

2) 6:22 pm

3) 6:42 pm

4) 1:30 pm

5) 12:40 pm

6) 5:35 pm

7) 3:24am

8) 11:25 am

9) 6:42 am

10) 9:20 am

6 0
3 years ago
Other questions:
  • Suppose that a person 6 feet tall weighs 180 pounds and another person is 4 feet tall and weighs 80 pounds Fit a linear equation
    12·1 answer
  • Tina wants to save money for school. Tina invests $1,000 in an account that pays an interest rate of 6.75%. How many years will
    12·1 answer
  • Challenge to all the maths lover
    12·1 answer
  • Determine the domain and range of f(x) = |2x + 1|
    5·1 answer
  • Jackie's dad drives her to a friend's house at the speed 30 mph. The friend's mom drives her back using the same route at the sp
    12·1 answer
  • Plz help I need help
    5·1 answer
  • Question 3
    13·1 answer
  • I am literally in tears. Pls someone help me fast. This is a timed question. I will give all of my points to the answer if it is
    14·1 answer
  • Us the expression (8x + 2) + (- 9x + 7)
    11·1 answer
  • Choose the definition for the function.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!