Answer:
We have to prove
sin(α+β)-sin(α-β)=2 cos α sin β
We will take the left hand side to prove it equal to right hand side
So,
=sin(α+β)-sin(α-β) Eqn 1
We will use the following identities:
sin(α+β)=sin α cos β+cos α sin β
and
sin(α-β)=sin α cos β-cos α sin β
Putting the identities in eqn 1
=sin(α+β)-sin(α-β)
=[ sin α cos β+cos α sin β ]-[sin α cos β-cos α sin β ]
=sin α cos β+cos α sin β- sinα cos β+cos α sin β
sinα cosβ will be cancelled.
=cos α sin β+ cos α sin β
=2 cos α sin β
Hence,
sin(α+β)-sin(α-β)=2 cos α sin β
Answer:
believe it is "the median is 82."
Step-by-step explanation:
55,66,82,89,90,92
there are 6 numbers so in order to find the median here you would have to add 82 and 89 together and then divide by 2.
82+89=171
171/2=85.5
hence "the median is 82." is the right answer
Answer:
y=9x+5
Step-by-step explanation:
y=mx+b is the slope-intercept form where m is the slope and b is the y-intercept.
Given that m (the slope) = 9 and b (the y-intercept) = 5, we can substitute directly into the equation and get this answer:
y=9x+5
-3.0625 is the answer to x
The formula for the area of a trapezoid is:
Substitute:
Simplify:
The area of the trapezoid is 104 cm.
