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
jeka57 [31]
2 years ago
9

Trigonometric identities Simplify cos^2 theta -1/ 4 sin^2 theta

Mathematics
1 answer:
Veronika [31]2 years ago
4 0

Answer:

B

Step-by-step explanation:

using the identity

sin²x + cos²x = 1 ( subtract 1 from both sides )

sin²x + cos²x - 1 = 0 ( subtract sin²x from both sides )

cos²x - 1 = - sin²x

then

\frac{cos^20-1}{4sin^20}

= \frac{-sin^20}{4sin^20} ← cancel sin²Θ on numerator and denominator

= \frac{-1}{4}

= - \frac{1}{4}

You might be interested in
How much money is 2/3 of 24.00$ draw a diagram
Pachacha [2.7K]

Answer:

16.00$

Step-by-step explanation:

divide 24 dollars in three sections which is 8 dollars a section. 2/3 is 2 out of 3 sections(8+8) which is sixteen.

3 0
3 years ago
Please help! Thank you!
KIM [24]
The correct answer is:  [B]:  " (2, 5) ".
__________________________________________
Given:
__________________________________________
  -5x + y = -5 ;
  -4x + 2y = 2 .
___________________________________________
  Consider the first equation:
___________________________
-5x + y = -5 ;  ↔ y + (-5x) = -5 ;

↔ y - 5x = -5 ;  Add "5x" to each side of the equation; to isolate "y" on one side of the equation; and to solve in terms of "y".
_____________________________________________
   y - 5x + 5x = -5 + 5x  

   y = -5 + 5x ;  ↔ y = 5x - 5 ;
____________________________________________
 Now, take our second equation:
______________________________
     -4x + 2y = 2 ; and plug in "(5x - 5)" for "y" ;  and solve for "x" :
_____________________________________________________
         -4x + 2(5x - 5) = 2 ; 
______________________________________________________
Note, 2(5x - 5) = 2(5x) - 2(5)  = 10x - 10 ;
__________________________________________
So:   -4x + 10x - 10 = 2 ;

On the left-hand side of the equation, combine the "like terms" ;

-4x +10x = 6x ;  and rewrite:

6x - 10 = 2  ;

Now, add "10" to each side of the equation:

6x - 10 + 10 = 2 + 10 ;

to get:

           6x = 12 ;  Now, divide EACH side of the equation by "6" ; to isolate "x" on one side of the equation; and to solve for "x" ; 

           6x/6 = 12 / 6 ;
 
                 x = 2 ;
_________________________________
Now, take our first given equation; and plug our solved value for "x" ; which is "2" ; and solve for "y" ;
_____________________________________
-5x + y = -5  ;

-5(2) + y = -5 ;

-10 + y = -5 ;  ↔
                              y - 10 = -5  ;

Add "10" to each side of the equation; to isolate "y" on one side of the equation; and to solve for "y" ;
     
         y - 10 + 10 = -5 + 10 ;

                   y = 5 .
_____________________________
So, we have, x = 2 ; and y = 5 .
____________________________
Now, let us check our work by plugging in "2" for "x" and "5" for "y" in BOTH the original first and second equations:
______________________________
first equation: 

-5x + y = -5 ;

-5(2) + 5 =? -5?

-10 + 5 =? -5 ? YES!
______________________
second equation:

-4x + 2y = 2 ;

-4(2) + 2(5) =? 2 ?

-8 + 10 =? 2 ?  Yes!
_______________________________________________________
So, the answer is: 
___________________________________________________________
          x = 2 , y = 5 ; or, "(2, 5)" ;  which is: "Answer choice: [B] " .
___________________________________________________________



3 0
3 years ago
Please help me solve this , is for tomorrow​
Valentin [98]

Answer:

-96

Step-by-step explanation:

This is the right answer.

7 0
3 years ago
The price of a 6-minute phone call is 1.80. What is the price of a 12-minute phone call?
hoa [83]

Answer:

3.60

Step-by-step explanation:

1.80 x 2

4 0
3 years ago
Read 2 more answers
Solve for b. 95 − 28b = –59 − 29b + 60
Anuta_ua [19.1K]
I believe it is B=24
4 0
2 years ago
Other questions:
  • Which are the solutions of the quadratic equation? x2 = –5x – 3 –5, 0 5, 0
    8·2 answers
  • Slope = -1/3 passing through (4,-9) <br> Point- slope form and slope-intercept form
    7·2 answers
  • What is the degree measure of the smaller angle formed by the hour and minute hands of a 12 hour clock?
    12·1 answer
  • Solve for y if B=<br> a(c+y)<br> 5
    5·1 answer
  • If y=1/4 and x=-12, find y
    8·1 answer
  • 30 pts AWNSER ASAP In 2 hours, Nolan can bake 5 1/2 dozen cookies. What is his unit rate in dozen cookies per hour?
    8·1 answer
  • Which statements are correct? Check all that apply.?
    6·1 answer
  • PLEASE ANSWER THIS FAST!!!!!!
    10·2 answers
  • Help me please help me please
    15·1 answer
  • Mating eagle pairs typically have two baby eagles (called eaglets). When there are two eaglets, the parents always feed the olde
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!