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
aniked [119]
3 years ago
8

Find an exact value. Cos 75° negative square root of six plus square root of two quantity square root of six minus square root o

f two divided by four quantity negative square root of six plus square root of two divided by four square root of six minus square root of two
Mathematics
1 answer:
ehidna [41]3 years ago
6 0

Answer:

√2(√3 - 1)/4

Step-by-step explanation:

To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).

Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,  

Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°

Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.

Substituting these values into the above equation, we have

Cos75° = Cos(45° + 30°)

= Cos45°Cos30° - Sin45°Sin30°

= √2/2 × √3/2 -  √2/2 × 1/2

= √6/4 -√2/4

= √2(√3 - 1)/4

You might be interested in
Two angles are supplementary. One measures (3x) degrees and the other measures 51 degrees.
Fed [463]

Answer:

a. 3x +51=180

x=43

b. 3(43)+51 =180 51 degrees; 129 degrees

Step-by-step explanation:

3x +51 =180

3x=180-51

3x=129

x=43

4 0
2 years ago
3 erasers cost $4.41<br> What equation would help determine the cost of 4<br> erasers?
soldi70 [24.7K]

Answer:

Well you can divide 4.41 by 3 and then use that number and multiply it by 4

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A.
Dovator [93]

Answer:

A

Step-by-step explanation:

5 0
3 years ago
When six is subtracted from five times a number, the result is 9
lozanna [386]
You do 9=5y-6. And then solve for y. It’s is 3.
7 0
3 years ago
I need help with both if you don’t mind
Anvisha [2.4K]
The first one is A and the second one is A
6 0
3 years ago
Other questions:
  • A.y=x-1<br> B.y=x+1<br> What does the graph represent?
    8·1 answer
  • Slope of a graph where the y intercept is 0,5 and another point is 1, 27?
    14·1 answer
  • Without parentheses, the expression 8 plus 30 divided by 2 plus 4 equals 27. Rewrite this expression with parentheses so that it
    12·1 answer
  • How I do this need help plzz
    12·1 answer
  • If you have an x-intercept = 3 and a y-intercept = 5 find the slope and the y-intercept.
    7·1 answer
  • the probability that a student and a class is left-handed is 0.1 what is the probability that a student chosen from this class i
    9·1 answer
  • 12+2(6 divided by 2/3) + 3.75
    9·1 answer
  • NEED HELP ASAP<br> NO LINKS AND NO JUST SAYING HI, PLEASE ANSWER LEGITIMATELY! THANK YOU!!!! &lt;3
    14·2 answers
  • Elsie bought a video game for $85.00. If the store charges 170% of its cost for the game, how much is the store's profit?
    8·1 answer
  • 5. write an equation for the table of values. explain how you got your answer
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!