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:
Step-by-step explanation:
36/6 · 2 + 1
6 ·2 + 1
12 + 1 = 13
answer is 13
Answer for LCD of fractions 5/6 and 3/8: 24
Step-by-step explanation:
5/6 and 3/8 - Get the multiples of 6: 6, 12, 18, 24, Multiples of 8: 8, 16, 24, 32.
The LEAST common one you can find is 24.
Answer for LCD of fractions 1/2 and 3/5: 10, or C
This one is a bit easier - just find multiples of 5 that are even. The least one is 10.
Answer for LCD of fractions 1/12 and 3/4: 12, or B
Explanation: Multiples of 12 that are multiples of 4 but the least of them: 12.
