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:
4(3n + 2)
Step-by-step explanation:
as we know perimeter of a square is 4 x side
one side is 3n + 2
4 sides = 4(3n +2)
Answer:
Step-by-step explanation:
the expression could help you find the distance between A(x; y) and B(x',y')is:
AB = √((x-x')²+(y-y')²)
in this exercise : x = 10
x' = - 6
y =4
y' = 4
cotninue ..................................
Answer:
√10/2x
Step-by-step explanation:
Multiply by √6 on the top and bottom to rationalize the denominator.
(√15×√6)/(√6x×√6) = √90/6x = (√9×√10)/6x = 3√10/6x = √10/2x
