All categories

3 years ago

Prove that: sin8A/1-cos8A=cot4A

Mathematics

1 answer:

nikitadnepr [17]3 years ago

8 0

Step-by-step explanation:

Recall the identity

$\tan \frac{A}{2}= \dfrac{1 - \cos A}{\sin A}$

We can see that

$\dfrac{\sin 8A}{1 - \cos 8A} = \dfrac{1}{\tan 4A}= \cot 4A$

You might be interested in

What type of sequence is the following numbers? 2.5,5,10,...

Aliun [14]

Answer:

its doubling every time

Step-by-step explanation:

2.5 add 2.5 is 5

5 add 5 equals 10 etc.

5 0

3 years ago

the amount of Water and Electric Dishwasher uses to wash dishes varies directly with the number of loads of dishes the dishwashe

Neporo4naja [7]

It would be 80 gallons of water that the dishwasher will use to wash 10 loads of dishes. To figure this out you would need to divide 32 by 4 which would equal 8. You would do this to figure out how many gallons of water a dishwasher needs to wash 1 load of dishes. Then you would multiply 8 times 10 which would equal 80. Hope this helps you!

8 0

3 years ago

Simply (5a^2/3)(4a^3/2)

Lilit [14]

The answer for this would be 10a^5/3

3 0

3 years ago

Please help me ASAP

stellarik [79]

Answer:

<em>The Graph is shown below</em>

Step-by-step explanation:

<u>The Graph of a Function</u>

Given the function:

$\displaystyle y=g(x)=-\frac{3}{2}(x-2)^2$

It's required to plot the graph of g(x). Let's give x some values:

x={-2,0,2,4,6}

And calculate the values of y:

$\displaystyle y=g(-2)=-\frac{3}{2}(-2-2)^2=-\frac{3}{2}(-4)^2==-\frac{3}{2}*16=-24$

Point (-2,-24)

$\displaystyle y=g(0)=-\frac{3}{2}(0-2)^2=-\frac{3}{2}(-2)^2=-\frac{3}{2}*4=-6$

Point (0,-6)

$\displaystyle y=g(2)=-\frac{3}{2}(2-2)^2=-\frac{3}{2}(0)^2=0$

Point (2,0)

$\displaystyle y=g(4)=-\frac{3}{2}(4-2)^2=-\frac{3}{2}(2)^2=-\frac{3}{2}*4=-6$

Point (4,-6)

$\displaystyle y=g(6)=-\frac{3}{2}(6-2)^2=-\frac{3}{2}(4)^2=-\frac{3}{2}*16=-24$

Point (6,-24)

The graph is shown in the image below

8 0

3 years ago

Jonah finished 24 math problems in

8_murik_8 [283]

Answer:

3 hours

Step-by-step explanation:

In an hour there are 60 minutes to find the unit rate of problems per minute you divide 60/24 and get 2.5 multiply 2.5 by 72 get 180 in minutes that is 3 hours

3 0

4 years ago

Read 2 more answers

Prove that: sin8A/1-cos8A=cot4A​

Prove that: sin8A/1-cos8A=cot4A