Answer:
sin(α+β)/sin(α-β) ==(tan α+tan β)/(tan α-tan β )
Step-by-step explanation:
We have to complete
sin(α+β)/sin(α-β) = ?
The identities that will be used:
sin(α+β)=sin α cos β+cos α sin β
and
sin(α-β)=sin α cos β-cos α sin β
Now:
= sin(α+β)/sin(α-β)
=(sin α cos β+cos α sin β)/(sin α cos β-cos α sin β)
In order to bring the equation in compact form we wil divide both numerator and denominator with cos α cos β
= (((sin α cos β+cos α sin β))/(cos α cos β ))/(((sin α cos β-cos α sin β))/(cos α cos β))
=((sin α cosβ)/(cos α cos β )+(cos α sin β)/(cos α cos β ))/((sin α cos β)/(cos α cos β )-(cos α sin β)/(cos α cos β))
=(sin α/cos α + sin β/cos β )/(sin α/cos β - sin β/cos β)
=(tan α+tan β)/(tan α-tan β )
So,
sin(α+β)/sin(α-β) ==(tan α+tan β)/(tan α-tan β)
Answer:
A = Right trangle and b= obtuse triagle
Step-by-step explanation:
You can tell because they are that way they are
Marco has ( d + 14.55 ) $
Step-by-step explanation:
Marco's mom gave him d dollars for his allowance one week.
Allowance of one week = d $
He also earned $ 1 4 . 5 5 for his newspaper route that week.
Earning of Marco by selling newspaper route that week = 14.55 $
Total earning = Allowance of one week + Earning of Marco by selling newspaper route that week
Total earning = ( d + 14.55 ) $
So Marco has ( d + 14.55 ) $
Answer:
I think it's 2,910 ft
Step-by-step explanation:
I did 6 times 97 times 5 to get the answer
Is -7/8 equivalent to 49/-56? YES
because
49/7 = 7
-56/7 = 8
so
49/-56
= 7/-8
= -7/8
