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
PLZ HLP! A dog is leashed to the corner of a house. How much running area does the dog have? Round your answer to the nearest sq
nadezda [96]

The area of a circle is area = pi x r^2

The full area = 3.14 x 20^2 = 1256 square feet.

The corner forms a 90 degree angle so the dirt area is 3/4 of a full circle.

Answer = 1256 x 3/4 = 942 square feet

7 0
2 years ago
Read 2 more answers
Can someone help me please and thank you!!
Ipatiy [6.2K]

Answer:

Perimeter: perimeter = (12 x 2) + (x-2 times 2)

Area: 12 x (x-2)

Step-by-step explanation:

I hope im right im only in grade 6 so wouldnt  trust me with that :/  

6 0
2 years ago
a hot air balloon is at an altitude of 240 feet. the balloon descends at 30 feet per minute. what equation gives the altitude y,
Rina8888 [55]
To solve this problem you must follow the steps below:

1. The problem says that:

 - The<span> hot air balloon is at an altitude of 240 feet.
 - It descends at 30 feet per minute.

 2. Therefore, you have:

 x: the time in minutes.
 y: the altitute in feet.

 3. Keeping all this information on mind, you can write the following equation:

 y=240-30x

 4. Therefore, as you can see, the answer is:
</span>
 y=240-30x
6 0
3 years ago
You are throwing darts at a dart board. You have a 1/ 6 chance of striking the bull's-eye each time you throw. If you throw 3 ti
Bogdan [553]

B. 1/216

bc 1/6*1/6*1/6

4 0
3 years ago
Read 2 more answers
What’s the value of a ?
otez555 [7]
The answer is (B)16.
4 0
3 years ago
Other questions:
  • Please help need answer fast will give brainliest
    10·1 answer
  • Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the northbound ca
    5·1 answer
  • What is the equation of the line that is parallel to the
    14·1 answer
  • What is the answer to this problem?!
    8·2 answers
  • The equation 3s=21 can be used o find the number of students s in each van on a field trip. How many students are in each van?
    6·1 answer
  • Yes i give brainliest​
    5·1 answer
  • Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation
    10·1 answer
  • 1/5 of the mangoes in a bag is green ,0.75 are ripe and the remaining 12 mangoes are rotten . How many mangoes are there in the
    5·2 answers
  • Two Distinct Rational roots<br><br> A.50<br> B.-loo<br> C.O<br> D.81
    11·1 answer
  • Help please I need the answer
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!