All categories

4 years ago

Can anyone please help : show that cos^{2} (θ)= 1 + cos(2θ) / 2 , using the compound angle formula

Mathematics

1 answer:

iragen [17]4 years ago

6 0

Answer:

Below

Step-by-step explanation:

Let's prove that cos^2(O) = 1+ cos(2O)/2

We khow that cos(2O) = 2 cos^2-1

● cos(2O) = 2 cos^2-1

Add one to both sides:

● cos(2O) +1 = 2 cos^2-1+1

● cos(2O) +1 = 2 cos ^2

Divide both sides by 2

● [cos(2O)+1]/2 = cos^2

You might be interested in

What is the surface area of a box if it is scaled up by a factor of 10

xenn [34]

If we are scaling up the surface area by a factor of 10 means that the two dimensions of area are each being increased by 10 times the original size. Therefore, the surface area is increased by a factor of 10 x 10, or by a factor of 100.

7 0

4 years ago

Brent created a mural, 4/5 of which he painted in shades of blue. Three eighths of the blue area is sky blue. What portion of th

Snezhnost [94]

Answer: $\frac{3}{10}$ of the mural is sky blue.

Step-by-step explanation:

Let x be the full portion of mural.

Since, $\frac{4}{5}$ of mural is painted in shades of blue.

Therefore, the blue portion= $\frac{4}{5}x$

Also, Three eighths of the blue area is sky blue.

Therefore, the portion of the mural is sky blue= $\frac{3}{8}\times\frac{4}{5}x$

The portion of the mural is sky blue= $\frac{12}{40}x$

Simplify, by dividing numerator and denominator by 4, we get

The portion of the mural is sky blue= $\frac{3}{10}x$

5 0

3 years ago

Cans of regular soda have volumes with a mean of 13.3813.38 oz and a standard deviation of 0.110.11 oz. is it unusual for a can

dimulka [17.4K]

No 13.3813 + 0.1100 = 13.4913. (max. standard deviation)
13.4813 is less than max. standard deviation

8 0

4 years ago

If ABC~DEF what is the length of BC?<br><br> If ABC~DEF what is the length of EF?

marysya [2.9K]

BC would equal the same as EF, they are similar. All you would have to do is figure out the pre image (BC) of EF.

3 0

3 years ago

Does anyone know how to do dis i need help

Darya [45]

Answer:

idk

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers