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)
Answer: 
Each term is half of the previous one, so the common ratio is 1/2. Then to get from the first term to the nth term, you have to take n - 1 steps, multiplying by 1/2 each time and by 6000 to account for the first term.
i hope this helps! :D
Answer:
convert km into m
1 km=1000m
360 km=1000*360m
=360000m
again,convert 3 hours into seconds
3 hours=60*60*3
=10800 second
average spped=total distance /time taken
=360000/10800
=33.33 m/s
Step-by-step explanation:
Answer:
Should be >A.86 cm2
Step-by-step explanation:
Good luck on your test, Have a great day!
Answer:
Step-by-step explanation:
We have to find the equation of the straight line which has the slope equal to 
and passes through the point (-4,-4).
As the slope of the equation is , hence by slope-intercept form the equation of the straight line will be given by
.......... (1), where c is any constant which we have to evaluate from the given point on the line (-4,-4).
So, the point (-4,-4) satisfies the equation (1) and hence,
⇒ - 4 = 3 + c
⇒ c = - 7
Therefore, the equation of the straight line will be
(Answer)
