The principal value of Arccsc (1.607) to the nearest minute is 38°29'
To answer the question, we need to know what arccsc is
What is arccsc?
Arccsc is the inverse of the cosec of an angle.
Let x = arccsc(1.607)
So, taking the inverse, we have
csc(x) = 1.607
Since csc(x) = 1/sinx, we have
1/sinx = 1.607
sinx = 1/1.607
sinx = 0.6223
The value of x
Taking inverse, we have
x = arcsin(0.6223)
x = 38.483°
Since 60' = 1°, we have
x = 38 + 0.483° × 60'/1°
x = 38° + 28.98'
x = 38°28.98'
x ≅ 38°29'
So, the principal value of Arccsc (1.607) to the nearest minute is 38°29'
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