Workedout problems on the conversion from circular to sexagesimal system:
1. In a rightangled triangle the difference between two acute angles is 2π/5. Express these two angles in terms of radian and degree.
Solution:
Let the acute angles be x^{c} and y^{c}. (According to the condition of the problem:x + y = π/2 and x  y = 2π/5
Solving these two equations we get;
x = 1/2 (π/2 + 2π/5)
x = 1/2 (5π + 4π/10)
x = 1/2 (9π/10)
x = 9π/20
and y = 1/2 (π/2  2π/5)
y = 1/2 (5π  4π/10)
y = 1/2 (π/10)
y = π/20
Again, x = (9 × 180°)/20 = 81°
y = 180°/20 = 9°
2. The circular measure of an angle is π/8; find its value in sexagesimal systems.
Solution:
π^{c}/8Therefore, the sexagesimal measures of the angle π/8 is 22° 30’
The above solved problems help us to learn in trigonometry, about the conversion from circular to sexagesimal system.
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