Answer:
I think the correct answer is $26,843,545.6
Step-by-step explanation:
<u>EXPLANATION</u><u>:</u>
Given that
sin θ = 1/2
We know that
sin 3θ = 3 sin θ - 4 sin³ θ
⇛sin 3θ = 3(1/2)-4(1/2)³
⇛sin 3θ = (3/2)-4(1/8)
⇛sin 3θ = (3/2)-(4/8)
⇛sin 3θ = (3/2)-(1/2)
⇛sin 3θ = (3-1)/2
⇛sin 3θ = 2/2
⇛sin 3θ = 1
and
cos 2θ = cos² θ - sin² θ
⇛cos 2θ = 1 - sin² θ - sin² θ
⇛cos 2θ = 1 - 2 sin² θ
Now,
cos 2θ = 1-2(1/2)²
⇛cos 2θ = 1-2(1/4)
⇛cos 2θ = 1-(2/4)
⇛cos 2θ = 1-(1/2)
⇛cos 2θ = (2-1)/2
⇛cos 2θ = 1/2
Now,
The value of sin 3θ /(1+cos 2θ
⇛1/{1+(1/2)}
⇛1/{(2+1)/2}
⇛1/(3/2)
⇛1×(2/3)
⇛(1×2)/3
⇛2/3
<u>Answer</u> : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.
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<span>Yes since percents can be decimals and these decimals can be illustrated as fractions hence, vice-versa.
80%= 0.8 = 4/5
A rational number is any number or numerical value which can be possibly stated in a fraction form of numbers, it basically has a numerator and denominator. Furthermore, the values of the numerator and denominator is integers and doesn’t equal to 0. In this given case of 8 over 5 or 8/5 this fractional number can still be expressed in a standard numerical form with a decimal as 1.6 without repeating decimal values. Unlike irrational numbers which is not possible, take for instance 3.1416… and so on which cannot be “fractionized”.<span>
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