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
ddd [48]
3 years ago
11

What is the exact value of sin(5π/12)? (please give steps)​

Mathematics
1 answer:
snow_tiger [21]3 years ago
7 0

Answer:

0.966053748

Step-by-step explanation:

\sin \bigg( \frac{5\pi}{12} \bigg) \\  =  \sin \bigg( \frac{5 \times 180 \degree}{12} \bigg) \\  =   \sin ( 5 \times 15 \degree) \\  =  \sin ( 75 \degree) \\  = \sin ( 45 \degree + 30 \degree) \\  = \sin  45 \degree  \times  \cos 30 \degree + \cos  45 \degree  \times  \sin 30 \degree \\  \\  =  \frac{1}{ \sqrt{2} }  \times   \frac{ \sqrt{3} }{2}  +  \frac{1}{ \sqrt{2} }  \times  \frac{1}{2}  \\  \\  =  \frac{ \sqrt{3} }{2 \sqrt{2} }  +  \frac{1}{2 \sqrt{2} }  \\  \\  =  \frac{ \sqrt{3}  + 1}{2 \sqrt{2} }  \\  \\  =  \frac{1.732 + 1}{2 \times 1.414}  \\  \\  =  \frac{2.732}{2.828}  \\  \\  = 0.966053748

You might be interested in
What is the next number 486, 162, 54, 18
Lesechka [4]
The pattern is to divide by 3

486 ÷ 3 = 162
162 ÷ 3 = 54
  54 ÷ 3 = 18
  18 ÷ 3 = 6

The next number is 6
5 0
3 years ago
Read 2 more answers
Which statement is correct about the product of ​423​ and ​78​?
lions [1.4K]

A. Is the answer...

Yes yes yes yes yes

8 0
2 years ago
Read 2 more answers
Is -7.245 rational or irrational
Zina [86]
Answer: Rational

Explanation: Integers are positive and negative whole numbers. However, we can also have positive and negative fractions and decimals. These positive and negative fractions and decimals are not members of the set of integers. They are rational numbers

Hope this helps!
8 0
3 years ago
Determine the roots of the following quadratic function:
musickatia [10]

Answer:

8x3 to the 6th degree minus 4th5 odd one under.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Help me please!!! i cant do these
LuckyWell [14K]

Answer:

sec(B)=b. ab/bc

sin(B)=c. ac/ab

csc(B)=f. ab/ac

cot(B)=a. bc/ac

tan(B)=e. ac/bc

cos(B)=d. bc/ab

Step-by-step explanation:

<u><em>SOHCAHTOA</em></u>

<u><em>Sine=Opposite/Hypotenuse</em></u>

<u><em>Cosine=Adjacent/Hypotenuse</em></u>

<u><em>Tangent=Opposite/Adjacent</em></u>

<u><em>SHACHOCotAO</em></u>

<u><em>Secant=Hypotenuse/Adjacent</em></u>

<u><em>Cosecant=Hypotenuse/Opposite</em></u>

<u><em>Cotangent=Adjacent/Opposite</em></u>

<u><em /></u>

6 0
1 year ago
Other questions:
  • Please help with <br><br> 0.36y=18
    9·2 answers
  • How many students did Rebecca observe when she collected her data?
    6·1 answer
  • I need help with math questions <br>​
    10·1 answer
  • Mt Whitney in California is 14,494 feet tall Denali in Alaska is 5,826 feet taller than my Whitney how tall is Denali
    11·2 answers
  • Tom can paint a house in 10 hours. If Sally helps, it takes them 4 hours. Without help, how long would it take Sally to paint a
    5·1 answer
  • 50 POINTS please help me I really need it
    10·1 answer
  • A segment has an endpoint at (1,−2). The midpoint is at (−4,−2). What are the coordinates of the other endpoint?
    10·1 answer
  • A line with a slope of 4 passes through the point (2, 1). What is the equation of this line?
    6·2 answers
  • Solve for x.
    13·2 answers
  • A circle's radius is 8 inches.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!