sec(259)

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Calculate sec(259)°
Since our angle is greater than 180 and less than or equal to 270 degrees, it is located in Quadrant III
In the third quadrant, the values for tan are positive only.

259 is an obtuse angle since it is greater than 90°

Sec(θ) =1
Cos(θ)

sec(259) =1
Cos(259)

sec(259) =1
Cos(-0.)

sec(259) = -5.7
Since 259° is less than 90, we can express this in terms of a cofunction
(θ) = csc(90 - θ) = csc(90 - 259) = csc(-169)

Important Angle Summary
θ°θradianssin(θ)cos(θ)tan(θ)csc(θ)sec(θ)cot(θ)
0010010
30°π/61/23/23/322√3/33
45°π/42/22/21221
60°π/33/21/232√3/323/3
90°π/210N/A10N/A
120°2π/33/2-1/2-√32√3/3-2-√3/3
135°3π/42/2-√2/2-12-√2-1
150°5π/61/2-√3/2-√3/32-2√3/3-√3
180°π0-100-1N/A
210°7π/6-1/2-√3/2-√3/3-2-2√3/3-√3
225°5π/4-√2/2-√2/21-√2-√21
240°4π/3-√3/2-1/2-√3-2√3/3-2-√3/3
270°3π/2-10N/A-10N/A
300°5π/3-√3/21/2-√3-2√3/32-√3/3
315°7π/4-√2/22/2-1-√22-1
330°11π/6-1/23/2-√3/3-22√3/3-√3