Answer:
See proof below
Step-by-step explanation:
show that
sinx/1+cosx=tanx/2
From LHS
sinx/1+cosx
According to half angle
sinx = 2sinx/2 cosx/2
cosx = cos²x/2 - sin²x/2
cosx = cos²x/2 - (1- cos²x/2)
cosx = 2cos²x/2 - 1
cos x + 1 = 2cos²x/2
Substitute into the expression;
sinx/1+cosx
= (2sinx/2 cosx/2)/2cos²x/2
= sinx.2/cos x/2
Since tan x = sinx/cosx
Hence sinx/2/cos x/2 = tan x/2 (RHS)
This shows that sinx/1+cosx=tanx/2
Answer:
Step-by-step explanation:
(Subtract 
from both sides of the equation to isolate 
)
(Simplify)
(Symmetric Property of Equality)
(Divide both sides of the equation by 
to get rid of 's coefficient; remember that 
, so 
has a coefficient of )
(Simplify)
Hope this helps!
Answer:
Step-by-step explanation:
We need to find the value of 
Solving:
We know, 
a^0 = 1
so,
So, the value of
Just divide $100 by 5. 100 divided by 5 = $20 each.
The equation is separable, so solving it is trivial:
Integrating both sides gives
Given 
and 
, we find
so the answer is E.
