Option A

<em><u>Solution:</u></em>
Given that we have to rewrite with only sin x and cos x
Given is cos 3x

We know that,

Therefore,
 ---- eqn 1
  ---- eqn 1
We know that,


Substituting these values in eqn 1
 -------- eqn 2
  -------- eqn 2
We know that,

Applying this in above eqn 2, we get



Therefore,

Option A is correct
 
        
             
        
        
        
The square on the hypotenuse is skew and impossible to visually validate. There's nothing to sum. It is a simple calculation to note that <span><span><span>32</span>+<span>42</span>=<span>52</span></span><span><span>32</span>+<span>42</span>=<span>52</span></span></span><span>, but its picture doesn't 'say' that the angle between the 3 and 4 sided square must be 90 degrees.
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Well I don't know !  
Let's take a look and see:
The idea is that there could be more than one way 
for a roll of the dice to land with the same number.   
-- If the sum is from 1-4, you get the point. 
There are  6  different ways for a roll of the dice to come up 1-4. 
-- If the sum is from 5-8, Adam gets the point.
There are  20  different ways for a roll of the dice to come up 5-8.
-- If the sum is 9-12, Lana gets the point.
There are  10  different ways for a roll of the dice to come up 9-12.
-- The game is not fair to all three of you.
-- Lana has a distinct advantage over you.
-- Adam has a big advantage over Lana.
-- Adam has an even bigger advantage over you.
-- You are at a big disadvantage.  (Notice that one of your 
numbers ... 1 ... can never come up unless one of the dice 
falls off of the table.)
_______________________________
Here's how to figure it:
Ways to roll a 2:
1 ... 1
Ways to roll a 3:
1 ... 2
2 ... 1
Ways to roll a 4:
1 ... 3
2 ... 2
3 ... 1
Ways to roll a 5:
1 ... 4
2 ... 3
3 ... 2
4 ... 1
Ways to roll a 6:
1 ... 5
2 ... 4
3 ... 3
4 ... 2
5 ... 1
Ways to roll a 7:
1 ... 6
2 ... 5
3 ... 4
4 ... 3
5 ... 2
6 ... 1
Ways to roll an 8:
2 ... 6
3 ... 5
4 ... 4
5 ... 3
6 ... 2
Ways to roll a 9:
3 ... 6
4 ... 5
5 ... 4
6 ... 3
Ways to roll a 10:
4 ... 6
5 ... 5
6 ... 4
Ways to roll 11:
5 ... 6
6 ... 5
Ways to roll 12:
6 ... 6
        
             
        
        
        
2x+4y+0.50z=36 represents the situation.
Step-by-step explanation:
Let, 
Drinks = x
Sandwich = y 
And,
Chips = z
Total amount on these items = $36
According to the statement;

2x+4y+0.50z=36 represents the situation.
Keywords: Linear equations
Learn more about linear equations at:
#LearnwithBrainly
 
        
             
        
        
        
6^9 x 6^-7 = 6^2
x= -7
Hope this helps :)