Answer:
Step-by-step explanation:
10, 24 and 38 are composite numbers.
(10 can be divided by 5 and 2; 24 can be divided by 8, 3, 12 and 2; 38 can be divided by 19 and 2).
The others are prime numbers.
Step-by-step explanation:
4 is the common difference
Answer:
x= 2
Step-by-step explanation:
y = 7 means it is parallel to the x axis . so the perpendicular line is to be parallel yo the y axis. .
so the equation is to be like x = c
but it is passing (2,13)
so the equation is
x= 2
Answer:
A. 70
Step-by-step explanation:
You can use the transversals and use vertical angles are congruent.
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
