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)
The answer is -16 and -5.
Answer:
0.03
Step-by-step explanation:
Given data
Probability that it will rain on Sunday= 0.7
Probability that it will rain on Monday = 0.2
Firstly we need to solve for the probability that it will rain on Tuesday
Sample space S = number of week days = 7
Probability that I will rain on Tuesday = 1/7= 0.14
Hence the probability that it rains on BOTH Monday and Tuesday= 0.2*0.14= 0.028
Rounding up the nearest hundredths = 0.03
Answer:
slope of a line m : 0
Equation of line : y=- 9
Step-by-step explanation:
P1 : (X1 , Y1 ) (-3 , -9)
P2 : (X2 , Y2) (5 , -9)
Slope of line (m) is caculated as ,
m = ( y2-y1)/(x2 - x1)
m = (-9 - (-9))/(5 - (-3))
m = 0
equation of line : y = mx+b
using P1 (-3 , -9)
= > (-9) = (0)(-3) + b
= > -9 = b
hence b = -9
equation of Line is
y = -9
The answer is 56.
Firstly you have to multiply the 2 numbers together, which would be the places of b and h. This would give you 112.
Then, divide 112 by 2 to give you a final answer of 56.
