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
gavmur [86]
3 years ago
15

2root3 sin^[email protected] -

="/cdn-cgi/l/email-protection" class="__cf_email__" data-cfemail="1b7874685b">[email protected]= 0
Mathematics
1 answer:
Phantasy [73]3 years ago
5 0

Answer:

Step-by-step explanation:

2\sqrt{3} sin^{2} \alpha -cos\alpha =0\\2\sqrt{3} (1-cos ^2 \alpha )-cos \alpha =0\\2\sqrt{3} -2\sqrt{3} cos^2 \alpha -cos \alpha =0\\2\sqrt{3} cos^2 \alpha +cos \alpha -2\sqrt{3} =0\\cos \alpha =\frac{-1 \pm\sqrt{1^2-4*2\sqrt{3}*(-2\sqrt{3})  } }{2*2\sqrt{3} } \\=\frac{-1 \pm\sqrt{1+48} }{4\sqrt{3} } \\=\frac{-1\pm7}{4\sqrt{3} } \\either~cos \alpha =\frac{6}{4\sqrt{3} }=\frac{\sqrt{3} }{2} \\=cos \frac{\pi }{6} ,cos(2\pi -\frac{\pi }{6} )\\=cos \frac{\pi}{6} ,cos \frac{11\pi }{6}

\alpha =2 n\pi+ \frac{\pi }{6} ,2n\pi +\frac{11\pi }{6} (general~solution)

or~cos\alpha =-\frac{7}{4\sqrt{3} } \\ \alpha =cos^{-1}( \frac{-7}{4\sqrt{3} } )

You might be interested in
Im doing a math test and i need help please
Brilliant_brown [7]

What is the question?

7 0
2 years ago
Read 2 more answers
What are 3 ways to solve a system of linear equations?​
ANEK [815]
The three ways are substitution, elimination, and graphing
7 0
3 years ago
What is 15% of 60? How did you find your answer?​
Norma-Jean [14]

Answer:

15% of 60 is 9

Step-by-step explanation:

15%= 3/20

3/20*60= 180/20

180/20= 9

15% of 60 is 9

Hope this helps!

5 0
3 years ago
Read 2 more answers
What is the area of the parallelogram?
Anarel [89]

Answer:

7 and one-half feet squared

Step-by-step explanation:

3 x 2.5 = 7.5

7 0
2 years ago
Generate a line up for the 9players on a ball team
Setler79 [48]

Answer:

do a 3 by 3

Step-by-step explanation:

three across and three up

3 0
3 years ago
Other questions:
  • Adrian creates some paintings every month. The numbers below show how many paintings Adrian has completed each month for the las
    9·1 answer
  • A(-1,2)B(-7,4) find the midpoint of AB
    9·2 answers
  • A number cube is rolled 60 times. The results of those
    15·2 answers
  • Two six-sided dice are rolled. Find the probability that the sum of the two faces that turn up is between 1 and 14.
    12·1 answer
  • ??????????????????????????????
    10·2 answers
  • A square park is of side 100 m. A path 5 m wide is made all around the garden inside it. Find the area
    10·2 answers
  • !!!I WILL MARK BRAINLIEST! PLZ ANSWER ASAP AND EXPLAIN! VERY IMPORTANT!!
    7·1 answer
  • Solve for:<br> ∫_(-1)^1 x^3+1/2 dx
    13·1 answer
  • When students were asked to name their favorite type of music, 3 out of every 5 students chose rock music. What percent of the s
    8·1 answer
  • Solve −163 = −25d .
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!