<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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8! is 40,320
Step-by-step explanation:
- Step 1: Find 8! (8 factorial).
Factorial of 8 is the product of 8 and all the integers below 8.
⇒ 8! = 8×7×6×5×4×3×2×1
= 40,320
Answer:
Angle 8
Step-by-step explanation:
Angles 7 and 8 are supplementary because they are both on a straight line.
A straight line is 180*, and the line that forms the angles 7 and 8 splits 180* into those degrees in the angles, so both of those angles add to 180* which makes them supplementary.
Answer:
They are 24, 692 feet aprart
Step-by-step explanation:
Let us assume at the instance we are measuring their position, that Pluto is at the highest point in the air, which is = 24,568 feet, and Goofy is at the lowest point of the sea (that he can go) = 124 feet.
Before we can proceed with the addition, we need to establish a datum, which will serve as the reference point from which the two distances are measured. This definitely is the sea level, because altitude and depth are usually measured above and below sea level.
Pluto's location to the sea level = 24,568 feet
Goofy's Location to the sea level = 124 feet
their distance apart = 24,568 feet + 124 feet =24, 692 feet apart
