Secant of Degrees

Calculate secant from an angle entered in degrees where cosine is non-zero.

Author

Dr. Mateo Silva Herrera

Math editorial contributor

Colombian urban planner with a PhD from UCL, designing resilient infrastructure for flood-prone cities

Reviewed by

Dr. Samuel Okafor

Math content reviewer

Nigerian-Canadian data scientist with a PhD from the University of Toronto, building ML models for early cancer detection

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

Table of Contents

  1. Reference values
  2. Calculator
  3. Reference table
  4. FAQs
  5. Methodology and review
  6. Related conversions

0 deg =

1 Secant Value

Representative value from the Secant of Degrees reference table.

Reference Values

Browse 23 reference values with individual detail pages for quick lookup.

Browse all reference values

Secant of Degrees

Calculate secant from an angle entered in degrees where cosine is non-zero.

Calculated Result

Reference Table

Use this complete table for quick lookup and internal linking to specific value pages.

Secant of Degrees Reference
Angle (Degrees)sec(θ)
-180 deg-1 Secant Value
-165 deg-1.035276 Secant Value
-150 deg-1.154701 Secant Value
-135 deg-1.414214 Secant Value
-120 deg-2 Secant Value
-105 deg-3.863703 Secant Value
-75 deg3.863703 Secant Value
-60 deg2 Secant Value
-45 deg1.414214 Secant Value
-30 deg1.154701 Secant Value
-15 deg1.035276 Secant Value
0 deg1 Secant Value
15 deg1.035276 Secant Value
30 deg1.154701 Secant Value
45 deg1.414214 Secant Value
60 deg2 Secant Value
75 deg3.863703 Secant Value
105 deg-3.863703 Secant Value
120 deg-2 Secant Value
135 deg-1.414214 Secant Value
150 deg-1.154701 Secant Value
165 deg-1.035276 Secant Value
180 deg-1 Secant Value

Frequently Asked Questions

Common questions about Secant of Degrees, formulas, and typical use cases.

What does the Secant of Degrees calculator do?

It helps with evaluating reciprocal trig values for angle-based geometry and analysis.

What formula does the Secant of Degrees calculator use?

sec(θ) = 1 / cos(θ), using degrees converted to radians first.

What inputs are valid?

Any finite angle is valid except 90° + 180°k where cosine is zero and secant is undefined.

When would I use this?

evaluating reciprocal trig values for angle-based geometry and analysis

Methodology and Review

This page combines a live calculator, precomputed reference values, and FAQ content from the same conversion definition to reduce mismatch between calculator output and lookup tables.

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