Answer:
cos(a + b) = 
Step-by-step explanation:
cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]
cos(a) = 
cos(b) = 
Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.
sin(a) = 
[Since, sin(a) = 
]
= 
= 
Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.
sin(b) = 
= 
= 
By substituting these values in the identity,
cos(a + b) = 
= 
= 
=
Therefore, cos(a + b) =
Answer: 350
Step-by-step explanation:
Let the cheeseburger be represented by a.
Since there were 51 fewer cheeseburgers sold than hamburgers. This means that hamburgers will be:
= a + 51.
Since the local hamburger shop sold a combined total of 649 hamburgers and cheeseburgers. This will be:
a + a + 51 = 649
2a + 51 = 649
2a = 649 - 51
2a = 598
a = 598/2
a = 299
299 cheeseburger were sold
Therefore, the number of hamburger sold will be:
= 649 - 299
= 350
Only one. These problems always have one solution unless something has changed.
Answer:
Given Rate of interest is r=8%=0.08
Principal Amount is A=5,000
Time is t years
Interest is compounded yearly twice ⟹n=2
Amount =P(1+
n
r
)
nt
=5000×(1+
2
0.08
)
2t
=5,408
(1.0816)
t
=
5000
5408
⟹t=1
