Answer:-tan (50) -tan (0) - tan (50) tan (0)
Step-by-step explanation:
any expression divided by one stays the same; simplify the expression using the symmetry of trigonometric functions.
 
        
             
        
        
        
 If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360°
        
                    
             
        
        
        
To write 0.0007716049 as a fraction you have to write 0.0007716049 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.0007716049 = 0.0007716049/1 = 0.007716049/10 = 0.07716049/100 = 0.7716049/1000 = 7.716049/10000 = 77.16049/100000 = 771.6049/1000000 = 7716.049/10000000 = 77160.49/100000000 = 771604.9/1000000000 = 7716049/10000000000 
so your answer is: 7716049/10000000000
 
        
             
        
        
        
Answer:
R (t) = 60 - 60 cos (6t)
Step-by-step explanation:
Given that:
R(t) = acos (bt) + d 
at t= 0
R(0) = 0
0 = acos (0) + d 
a + d = 0 ----- (1)
After  seconds it reaches a height of 60 cm from the ground.
 seconds it reaches a height of 60 cm from the ground.
i.e


Recall from the question that:
At t = 0, R(0) = 0 which is the minimum 
as such it is only  when a is  negative can acos (bt ) + d can get to minimum at t= 0
Similarly; 60 × 2 = maximum
R'(t) = -ab sin (bt) =0
bt = k π
here;
k  is the integer
making t the subject of the formula, we have:

replacing the derived equation of k into R(t) = acos (bt) + d 
 
 
Since we known a < 0 (negative)
then d-a will be maximum
d-a = 60  × 2
d-a = 120 ----- (3)
Relating to equation (1) and (3)
a = -60 and d = 60
∴ R(t) = 60 - 60 cos (bt)
Similarly;
For 

where ;

Then b = 6
∴
R (t) = 60 - 60 cos (6t)