You have the following equation:
secx - cosx = sinxtanx
In order to verify the previous identity, you show that the left side is equal to the right side. You proceed as follow:
secx - cosx = 1/cosx - cosx
to get the same denominators multiply by cosx/cosx in the second term:
1/cosx - cos²x/cosx
add the homogeneus fractions:
(1 - cos²x)/cosx
use the identity sin²x + cos²x = 1 => 1 - cos²x = sin²x
sin²x/cosx
write sin²x as sinxsinx
(sinx)(sinx/cosx)
separate the expression into two factors by replacing sinx/cosx = tanx
(sinx)(tanx)
Then, the given equation is an identity and it has been demonstrated that
secx - cosx = sinx tanx
Answer: B
Step-by-step explanation:
Answer:
S(t) = 2 - 0.25*t
Step-by-step explanation:
A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months.
When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate.
S(t) denote the ice sheet's thickness S ( measured in meters) as a function of time (measured in weeks).
Therefore the equation formed will be linear.
The equation will be of the form y = mx + b
Here S(t) = mt + b
Here m is the slope which is the rate at which ice is melting.
Putting t = 0
S(t) = 2
Putting t = 3,
S(t) = 1.25
Therefore, m*0 + b = 2 or, b = 2
and 3m + b = 1.25
or, 3m = 1.25 - 2 = -0.75
or, t = -0.25
Hence, function's formula = S(t) = -0.25*t + 2
i.e. S(t) = 2 - 0.25*t
Answer:
The volume of Prism will be "189888 inches".
Step-by-step explanation:
