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Brums [2.3K]
3 years ago
12

Sin5A/SinA-cos5A/cosA=4cos2A​

Mathematics
1 answer:
irina1246 [14]3 years ago
5 0

Answer:

See Explanation

Step-by-step explanation:

\frac{ \sin5A}{\sin A}  -  \frac{ \cos5A}{\cos A}  = 4\cos2A \\  \\ LHS = \frac{ \sin5A}{\sin A}  -  \frac{ \cos5A}{\cos A}   \\  \\  =  \frac{ \sin5A \:\cos A -  \cos5A \:  \sin A}{\sin A \:\cos A }  \\  \\  =  \frac{ \sin(5A -A )}{\sin A \:\cos A}  \\  \\ =  \frac{ \sin 4A}{\sin A \:\cos A}  \\  \\ =  \frac{ 2\sin 2A \: \cos 2A}{\sin A \:\cos A}  \\  \\ =  \frac{ 2 \times 2\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A}  \\  \\ =  \frac{ 4\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A}  \\  \\ =4\cos 2A \\  \\  = RHS \\  \\ thus \\  \\  \frac{ \sin5A}{\sin A}  -  \frac{ \cos5A}{\cos A}  = 4\cos2A \\  \\ hence \: proved

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Molodets [167]

Answer:

They are Proportional because there will always be a 7 dollar difference

Step-by-step explanation:

Josh is paid 14

Tillery is payed 7$

The relation is proportional

Josh ||| Tillery

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14      |||   7

16      |||   9

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8 0
3 years ago
What is 18 expressed as a percent?
Vladimir79 [104]
Here is your answer:

Your answer is 18%

Reason: That's because 18 has a invisible decimal point:

18.

Then you move to decimal and change it into a %

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Your answer is...
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3 years ago
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Leah mowed 18 lawns in 15 hours. What was her rate of mowing in hours per lawn?Express ur answer in the simpilest form.
wolverine [178]
If she mowed 18 lawns in 15 hours and didn’t get paid she would be dumb but if she did get paid the answer is 1.76
8 0
2 years ago
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three times a number is subtracted from another number and the difference is 3. The sum of the two numbers is 31. What is the sm
Aleksandr-060686 [28]

ANSWER

The smaller number is 7.

EXPLANATION

Let the numbers be x and y.

Then we have;

y-3x=3... eqn (1)

If the sum of the numbers is 3 then,

y+x=31... eqn (2)

Eqn(2) - Eqn (1)

x--3x=31-3

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Divide both sides by 4,

x = 7

We put x=7 into the second equation,

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3 years ago
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Mnenie [13.5K]

Your drawing was much more helpful and informative than your statements in words and symbols.

I see that you want to evaluate (3/2)^2 times (8/15)^2.

You could combine these two expressions into one, as follows:

3*8

( ----------- )^2

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This, in turn, can be simplified by reduction:


( 4/5 )^2. Expanded, this result gives us 16/25.


Next problem

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( 9/4 )^4 * ( 4/3 )^3

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Now reduce 4^3 / 4^4: The end result is 1/4.

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