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:
what on the planet is the question
we have to first convert fraction of hours into minutes
1 hour is equivalent to 60 minutes
then 3/4 hour is - 3/4 of 60
when the of function is used we have to multiply the 2 numbers
then 
3/4 of an hour is equivalent to 45 minutes
then we have to add 5 hours and 45 minutes to 11.32 pm
add 5.45 to 11.32
11.32
5.45 +
-------
16.77
then its 16 hours and 77 minutes
an hour has only 60 minutes so we subtract 60 minutes from 77 minutes and add that hour to 16 hours
16 hours + 1 = 17 hours
77 minutes - 60 minutes = 17 minutes
17 hours 17 minutes
time is given in pm therefore its a 12 hour clock
so we have to subtract 12 hours from 17 hours 17 minutes
17.17 hours - 12 hours = 5.17
the new time is 5.17 am of the next day
Answer:
397 feet
Step-by-step explanation:
All you have to do is subtract the feet of Town R from Town M. The equation would look like this.
679 - 282 =397
So Town R is 397 feet higher than Town M.
Hope that helps and have a great day!