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:
C
Step-by-step explanation:
the buyer will get some amount of money left while the seller gets profit as well
3/4 divided by 1/5 = 3 3/4
Hope that helps :)
Answer:
Arithmetic density.
Step-by-step explanation:
The correct answer is arithmetic density. This is because for a country, it is also known as real density and it's defined as the number of people per unit area of total land in that country.
Thus, the population of a country divided by its area determines its arithmetic density
Answer:
6 red marbles
Step-by-step explanation:
We must first find our multiplier since a sample represents a population (the whole thing).
6/2 = 3, so 3 * 2 = 6.
I will use the value of 6/2, aka 3 and use that as my divisor.
18/3 = 6.
Therefore, you would expect to have 6 red marbles.
