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
The answer is y = 3x + 5
explanation : if you substitute the x in the equation for 0 and the y for 5 then solve/simplify. if you’re still not sure you can try the next one and substitute x for 2 and y for 11. you’ll see that y and x will equal each other. hope this helps:)
The answer is C: 36%
20/55 = .3636 repeating
Answer:
according to the ratio, if every other chocolates Jodi ate is 36.5 calories, then if she ate 5 chocolates then she would have eaten 157.5 calories. What varies means is some chocolates may not exactly be 36.5 calories.
Step-by-step explanation:
Answer:
if you want to find which lines are parallel you must look at the slopes
Step-by-step explanation:
and you for this you must alone x
1) 3y=-x+5 slope is -⅓
2)3y=x-12 slope is ⅓
3)y=3x-2. slope is 3
4)6y=2x-7 slope is 2/6=⅓.
Finally the answer is 2 and 4 is parallel
