All categories

3 years ago

Cos2A + cos2A cot2A = cot2A

Mathematics

1 answer:

Vlad [161]3 years ago

7 0

cos(2A) + cos(2A) cot(2A) = cot(2A)

cos(2A) + cos(2A) cot(2A) - cot(2A) = 0

cot(2A) sin(2A) + cos(2A) cot(2A) - cot(2A) = 0

cot(2A) (sin(2A) + cos(2A) - 1) = 0

cot(2A) = 0 or sin(2A) + cos(2A) - 1 = 0

cot(2A) = 0 or sin(2A) + cos(2A) = 1

cot(2A) = 0 or sin(2A) cos(π/4) + cos(2A) sin(π/4) = 1/√2

cot(2A) = 0 or sin(2A + π/4) = 1/√2

[2A = cot⁻¹(0) + nπ] or

[2A + π/4 = sin⁻¹(1/√2) + 2nπ or 2A + π/4 = π - sin⁻¹(1/√2) + 2nπ]

(where n is any integer)

[2A = π/2 + nπ] or

[2A + π/4 = π/4 + 2nπ or 2A + π/4 = 3π/4 + 2nπ]

[A = π/4 + nπ/2] or

[2A = 2nπ or 2A = π/2 + 2nπ]

[A = π/4 + nπ/2] or

[A = nπ or A = π/4 + nπ]

A = (1 + 2n) π/4 or A = nπ or A = π/4 + nπ

You might be interested in

If you a 1hour long test and you have 10 question home many minutes would you spend on each question if you used the whole hour

lord [1]

Answer:

It would take you 10 minutes on each question. Answer is 10 minutes

Step-by-step explanation:

Because you have one hour to answer 10 questions and it should take you 10 minutes.

5 0

3 years ago

A cube has a volume of 512 mm^3. If all sides of the cube are divided by 4, what will the resulting volume be?

pshichka [43]

$\bf \textit{volume of a cube}\\\\
V=s^3\qquad \boxed{s=\frac{s}{4}}\implies V=\left( \cfrac{s}{4} \right)^3\implies V=\cfrac{s^3}{4^3}\implies V=s^3\cdot \cfrac{1}{4^3}
\\\\\\
V=s^3\cdot \cfrac{1}{64}\impliedby \frac{1}{64}\textit{ of the original volume, if the original was 512}
\\\\\\
512\cdot \cfrac{1}{64}\implies \cfrac{512}{64}$

3 0

3 years ago

0.09 is one tenth of

liq [111]

0.09 = 1 
0.9 10

I hope this helps.

4 0

3 years ago

Read 2 more answers

How do you tell if it's possible to make a triangle out of these side lengths? PLZ HELP!!!!!

Nastasia [14]

Answer:

Step-by-step explanation:

square root of 73 is about 8.5

square root of 10 is about 3. multiply by 3, you get 9.

square root of 7 is about 2.6. multiply by 5, you get 13.

when determining if you can make a triangle, if all variants of two sides can add up to be greater than the third side, you can make the triangle. so 8.5+9 > 13; 13+9 > 8.5; 13+8.5 > 9. this means it can make a triangle and all you have to do is order the sides.

8.5 is smallest which corresponds to angle c because it's opposite. 9 goes to angle a, then finally 13 goes to angle b. thus, angles c, a, b is the order.

side note: the smallest side length will always correspond with the smallest angle.

hope this helps :)

3 0

3 years ago

Which percent is equivalent to One-half? 1% 2% 25% 50%

cupoosta [38]

Answer:

will be 50% eazy ez hhhhh

Step-by-step explanation:

4 0

3 years ago

Cos2A + cos2A cot2A = cot2A​

Cos2A + cos2A cot2A = cot2A