Answer:
1. 
2. 3.2362
3. 
Step-by-step explanation:
1.
Cot is the trigonometric ratio defined by "adjacent" over "opposite". <em>So, adjacent = 2 and opposite = 3.</em> 
By pythagorean theorem, we have the "hypotenuse" as  
Csc is defined as the trig ratio "hypotenuse" over "opposite". <em>We know the sides, so Csc  =
 =  </em>
</em>
<em />
<em>First answer choice is right.</em>
<em />
2.
By definition, Csc  is the inverse of Sine
 is the inverse of Sine  . <em>If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:</em>
. <em>If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:</em>

Third answer choice is right.
3.
By definition tan and cot are inverse of each other. <em>So the value of tan is the reciprocal of the value of cot.</em> We can simply "flip" the value of tan theta to get the value of cot theta. Hence:

Third answer is right.
 
        
                    
             
        
        
        
Answer:
The value is      
Step-by-step explanation:
From the question we are told that 
    The amount charge per year is  
    The  number of members it will have at this amount is  
    The amount amount increase that will lead to the loss of a single member is   
         Generally the total amount the club would obtain from  its members is mathematically represented as 
       
Now let x denote the number of member lost 
Hence 
       
=>    
=>  
Thus the number of members that be removed to  give the maximum  income from dues is obtained by differentiating the above equation and equating it to zero
            
=>         
So from   we have
 we have 
           
            
So the amount the club should charge is    
          
          
           
 
        
             
        
        
        
Answer:
$77.18
Step-by-step explanation:
Fill in your equation like this:
 and
 and
 and
 and
 so
 so 
B = $77.18
 
        
             
        
        
        
Answer:
Hypotenuse = 37
Step-by-step explanation:
Let the base is 12 and height is 35.
We can use Pythagorean theorem to find the third side (hypotenuse or the longest side). The Pythagoras theorem can be given by :

Hence, the hypotenuse is 37 units.