I've answered your other question as well.
Step-by-step explanation:
Since the identity is true whether the angle x is measured in degrees, radians, gradians (indeed, anything else you care to concoct), I’ll omit the ‘degrees’ sign.
Using the binomial theorem, (a+b)3=a3+3a2b+3ab2+b3
⇒a3+b3=(a+b)3−3a2b−3ab2=(a+b)3−3(a+b)ab
Substituting a=sin2(x) and b=cos2(x), we have:
sin6(x)+cos6(x)=(sin2(x)+cos2(x))3−3(sin2(x)+cos2(x))sin2(x)cos2(x)
Using the trigonometric identity cos2(x)+sin2(x)=1, your expression simplifies to:
sin6(x)+cos6(x)=1−3sin2(x)cos2(x)
From the double angle formula for the sine function, sin(2x)=2sin(x)cos(x)⇒sin(x)cos(x)=0.5sin(2x)
Meaning the expression can be rewritten as:
sin6(x)+cos6(x)=1−0.75sin2(2x)=1−34sin2(2x)
If my calculations are correct , only 26 stacks of folders will only hold 7 folders evenly .. leaving 1 pile with 9 folders because 26*7= 182 & 184-182 = 2 . 7+2=9
X is 2 more than y
x=2+y
5 years ago (x-5 and y-5)
sum is 30
x-5+y-5=30
x+y-10=30
x=2+y
sub 2+y for x
2+y+y-10=30
2y-8=30
add 8 to both sides
2y=38
divide both sides by 2
y=19
Lindsey is 19
