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
german
3 years ago
15

Without using a calculator how do you evaluate tan 5π/6.

Mathematics
1 answer:
Mama L [17]3 years ago
3 0
Remember that pi=180, 
so 180/6=30, 30*5=150,
what's tan 150? 
Remember that 150 degrees is in the 2nd quadrant, and this is tangent, so it means the answer must be negative, because tan 150= - tan 30, and -tan30=-√3/3. 

Answer: -√3/3. 
You might be interested in
Solve 2x3 + x2 - 15x completely by factoring.
zhuklara [117]
Answer:  [D]:  " x = 0, -3, 5/2 "  .

{Assuming:  " 2x³ + x²  − 15x = 0 ".}.
__________________________________________
Explanation:
___________________________________
Given:
_________________________________
     2x³ + x² − <span>15x ;
 __________________________________
</span>        →  (2x³ + x²) − 15x ;
  
        →   2x³ + x² − 15x  =   x * (2x² + x − 15) ;
         
        →  Factor the expression:  "(2x² + x − 15)" ;
                                     
             → (2x² + x − 15) =  
            
            →   2x² − 5x + 6x − 15 ;

           →  Add the "first TWO (2) terms", and pull out the "like factors" ;                                       →  x*(2x − 5) ;

           →  Add the "last TWO (2) terms, pulling out "common factors";
                            →  3*(2x − 5) ;

           →  Now, add up the previous FOUR (4) terms; to get:

                            → (x + 3)(2x − 5) ;  

           → Now, we have factored the:

                    "(2x² + x − 15)" of:  " x*(2x² + x − 15) " ; 

           →  So we add the "x"; and write the entire factored expression:
______________________________________________________
                      →  x*(x + 3)(2x − 5) ;           
_____________________________________
Now, assume the question is asking to solve for "x" by factoring;
   when the expression is "equal to zero" ;
_______________________________________
That is, when:  

                →  x*(x + 3)(2x − 5) = 0 ;
____________________________________________
Since we have THREE (3) multiplicands;  and anything times "0" equals "0" ;
    this equation holds true when:
________________________________
  1) x = 0 ;
_______________
  2) (x + 3) = 0 ;
  
Subtract "3" from each side of the equation;

   x + 3 − 3 = 0 − 3 ; 
  
         x = -3 ; 
_______________________
3)  2x − 5 = 0 ; 

Add "5" to each side of the equation;

2x − 5 + 5 = 0 + 5 ;

2x = 5 ; Now, divide EACH side of the equation by "2" ; to isolate "x" on one side of the equation; and to solve for "x" ; 

2x/2 = 5/2 ;

x = 5/2; or, write as 2.5; or write as 2<span>½ .
</span>_____________________________________
Put simply, the equation is true when:
_________________________________________
    x = 0, -3, 5/2 ;  which is: Answer choice: [D].
_________________________________________

7 0
3 years ago
Name 5 decimal numbers that are between 4.78 and 4.79. Explain your answer.
Karolina [17]
4.781, 4.782,4.783,4.784,4.785

I can't explain though:(
6 0
3 years ago
Read 2 more answers
Help me with everything plz
lora16 [44]
#25 IS 'C' 168!
24*7=168
4 0
3 years ago
FIND THE VALUE OF LOG 16 BASE 1/2
Molodets [167]
The result can be shown in both exact and decimal forms.Exact Form:<span><span>−<span>14</span></span><span>-<span>14</span></span></span>Decimal Form:<span>−<span>0.25




</span></span>
3 0
3 years ago
I need help im failing
aleksley [76]

Answer:

D because 0.75 in fraction form is 3/4 and 3/4 is greater then 2/3 which is the graphs rate of change.

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Suppose C and D represent two different school populations where C &gt; D and C and D must be greater than 0. Which of the follo
    5·2 answers
  • A square deck has a side length of x + 5. You are expanding the deck so that each side is four times as long as the side length
    5·1 answer
  • A quad-core processor can handle 1 program on each of its 4 cores at the same time. If there are 20 programs queued to run on it
    9·1 answer
  • I need to know the answers because my friends and I cannot have different answer.
    11·1 answer
  • Identify the function family to which f (x) = 8x – 5 belongs.
    5·1 answer
  • Is 3/8 a natural whole integer or rational number
    10·2 answers
  • A tire has a radius of 7.5 inches. <br> How many inches will the tire travel after one rotation?
    10·1 answer
  • Using Cramer’s rule, what is the value of x in the solution to the system of linear equations below?
    9·1 answer
  • What is the area of the building below? *
    15·1 answer
  • Given that f(x) = 2x+4 and h(x) = x³, find (h o f)(1).<br> (hof)(1)=<br> (Simplify your answer.)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!