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:
The answer is A. 
.
Step-by-step explanation:
To find the difference of this problem, start by simplifying the denominator, which will look like 
. Next, multiply 
by 
to create a fraction with a common denominator in order to subtract from 
. The problem will now look like 
.
Then, simplify the terms in the problem by first multiplying and , which will look like 
. The next step is to combine the numerators over the common denominator, which will look like 
.
Next, simplify the numerator, and to simplify the numerator start by factoring 3 out of 
, which will look like 
. Then, subtract 14 from -7, which will look like . The final answer will be .
Because when divided a fraction u must flip a fraction and cross multiply
1/2÷5/6
1/2×6/5
3/5
Answer:
Step-by-step explanation:
Answer:
I think it's 1 1/4 liters of paint for one door
Step-by-step explanation:
First you have to turn it to an improper fraction
1.) 1 3/5 = 8/5
Then you have to proportion the fraction with the 2 liters (L=liters)
2.) 2/(8/5)
= 10/8 L
3.) Next you convert the fraction to a mixed number
10/8 L --> 8/8 + 2/8 = 1 1/4 L
