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
kramer
4 years ago
13

Find the exact value of cos 157.5°.

Mathematics
1 answer:
Nonamiya [84]4 years ago
3 0
Cos 157.5º=-cos (180º-157.5º)=-cos 22.5=-cos(45/2)

cos Ф/2=⁺₋√((1+cosФ)/2).

In this case 157.5º is in the second quadrant, therefore we use the following equation:
cos Ф/2=-√((1+cosФ)/2).          (we will have a negative number)

cos 157.5º=-cos (45/2)=-√((1+cos 45º)/2)
=-√((1+√2/2)/2)
=-√((2+√2)/4)
=-√(2+√2) / 2   (≈-0.92387...)

Answer: cos 157.5º= -√(2+√2) / 2

You might be interested in
Math problems are hard--
lesya692 [45]
The answer is 2 Baja snshwjwjnwnwnsns u need to type more things
6 0
3 years ago
Read 2 more answers
What's the answer to x^2-6x-8?
solong [7]

Answer:

0

Step-by-step explanation:

(x-4)(x-2)=0

If any individual factor on the left side of the equation is equal to 0

the entire expression will be equal to 0

Set the first factor equal to 0 and solve

x=4

The final solution is all the values that make

(x-4)(x-2)=0

x=4,2

6 0
3 years ago
Find the midpoint of segment JP, given J(-4,6) and P(-12,-2).
grin007 [14]

Answer:

The answer is

<h2>( - 8 , 2)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

<h3>M = ( \frac{x1 + x2}{2}  ,  \:  \frac{y1 + y2}{2} )</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

J(-4,6) and P(-12,-2)

The midpoint is

<h3>M = ( \frac{ - 4 - 12}{2}  ,  \:  \frac{6 - 2}{2} ) \\  = ( -  \frac{16}{2} ,  \:  \frac{4}{2} )</h3>

We have the final answer as

<h3>( - 8 , 2)</h3>

Hope this helps you

6 0
3 years ago
What is the cost of 400g at £1.50 per 1/2kg
Artyom0805 [142]
Well 0.5kg is an awkward number, so let's double £1.50 and 0.5kg to get £3 for 1kg, or 1000g. 

So now, we can set up a proportion. (x is the cost) 

\frac{3}{1000}  =  \frac{x}{400}.

Now we multiply 400 on both sides to get 'x' on its own.

\frac{3}{1000} × 400 = 1.2

So now, we know the cost for 400g = £1.20. 
6 0
3 years ago
How do you do the squared number ?
Karolina [17]

Okay... So the squared number of 25 is 5, because 5*5=25.

6 0
3 years ago
Other questions:
  • How many cubic meters of material are there in a conical pile of dirt that has radius 9 meters and height 6 meters 6 meters​? Us
    10·1 answer
  • X^2-2x-48<br> Factor the polynomial
    15·2 answers
  • Which point is the incenter of ​ △DEF ​ ?
    12·2 answers
  • PLEASE HELP What steps do you use to solve a system of two equations using substitution?
    9·1 answer
  • N is the set of all positive multiples of 3, and W s the set of all squares of integers. Which of the following numbers belongs
    15·1 answer
  • Curtis drank 1/2 of his glass of water. Isa drank 2 1/3 times more water than Curtis. How many glasses of water did Isa drink? E
    6·2 answers
  • Milan is running a race. He runs at a speed of 7 miles per hour for 11.2 miles. For how many hours does he run?
    9·1 answer
  • If f(x)= 2 x +1 and g( x)= 3 x - 4, find f (g (x ) and g( f(x)).
    7·1 answer
  • PLZ HELP DUE soon x 2/3
    10·1 answer
  • Does the parabola open up or down?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!