<span>tan(15) =
sin(15) / cos(15) =
sin(45 - 30) / cos(45 - 30) =
[ sin(45)cos(30) - sin(30)cos(45) ] / [ cos(45)cos(30) + sin(45)sin(30)]
Since sin(45) = cos(45) = √2/2, you can just factor that out from the top and bottom
[ cos(30) - sin(30) ] / [ cos(30) + sin(30)]
[ √3/2 - 1/2 ] / [ √3/2 + 1/2]
(√3 - 1) / (√3 + 1)
(√3 - 1)^2 / (√3+1)(√3 - 1)
(√3 - 1)^2 / (3 - 1)
(3 - 2√3 +1) / 2
2 - √3
There's also a formula for tan(a-b), but I couldn't remember it off hand.</span>
Answer:
$33 for the notebooks and $4.40 for the pens
Step-by-step explanation:
if u would multiply 33 by 1.50 you would get $33
if u would multiply 8 by 0.55 you would get $4.40
Their can be 6 arrangements of (2 men to
3 women, and opposite 5 men to 0 women and opposite, 4 men and 1 woman and opposite. so therefore their are 6 arrangements
