Find the value of sec (2100 degrees )

SEC 2100
SEC (360*6-60)
SEC (60 degrees)...[since SEC(360- theta) = SEC theta as it lies in 4th quadrant]
1/COS 60 degrees
= 2 ans.

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ans -sec(120°)

sol: sec(2100°) =sec(11π+120°) [1]

in even multiples of π/2 we change sec to sec therefore [1] can be written as
[sign to be determined] sec(120°)
origlally it was sec also 11π+ some thing would mean 10π+π+120°
even comes to zero by rotating in circle which means originally it was sec π+ 120 3rd quad in which sec is negative so sign is negative
- sec(120°)
  • 1
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