Help me I dont understand 6n=48
2 answers:
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Answer:
and
respectively.
Step-by-step explanation:
The given trigonometric equation is
We divide both sides by to get,
This implies that,
We take the inverse tangent of both sides to get,
Since the tangent ratio has a period of , another solution is
to the nearest degree.
In the third quadrant,
The solutions are
The value of x that satisfies the equation if x lies in the second quadrant is
The value of x that satisfies the equation if x lies in the third quadrant is
The cube root of 60 is 3.87 approximately.
Step by step solution:
We can calculate the cube root by Halley's method:
The formula is
where,
a = number whose cube root is being calculated
x = integer guess of its cube root.
Here a = 60,
Suppose x as 3
[∵ 3³ = 27 and 27 is the nearest perfect cube that is less than 60]
⇒ x = 3
Therefore,
∛60 = 3 (3³ + 2 × 60)/(2 × 3³ + 60)) = 3.87
⇒ ∛60 ≈ 3.87
Therefore, the cube root of 60 is 3.87 approximately.
Here , ∛60 is irrational because it cannot be expressed in the form of p/q where q ≠ 0.
Therefore, the value of the cube root of 60 is an irrational number.
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