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Secant Calculator

Find sec(θ) for any angle in degrees or radians, with the exact value at multiples of 15° and the other five functions.

Change the values and press Calculate to work out your own figures.

Enter an angle and choose degrees or radians.

About angle θIn the unit chosen below.
About angles inDegrees or radians.
Result
sec(60°)
2
sin(θ)
0.8660254038
cos(θ)
0.5
tan(θ)
1.732050808
csc(θ)
1.154700538
cot(θ)
0.5773502692

The secant of 60° is 2.

Show the working
  1. θ = 60° = 1.047197551 rad = π/3
  2. sec θ = 1 ÷ cos θ
  3. = 2

How to use it

Enter an angle and choose degrees or radians.

Enter the values you know (decimals, fractions, surds such as 2√5, or angles such as π/3 in radians). Show the working gives the rule used at each step.

Key facts

sec θ = 1 ÷ cos θ

Exact values

At multiples of 15° the functions have exact values built from √2, √3 and √6, which the calculator shows alongside the decimal.

Questions

What is sec(60°)?

2.

Degrees or radians?

Choose the unit under the angle; radians can be typed with π, such as π/3.

Formulas

sec θ = 1 ÷ cos θ

Sources

Limitations

  • Angles can be typed in degrees or radians; radians may be written with π (π/3, 2pi/3).

Formula version 0.1.0Reviewed