Secant Calculator
Calculate sec(x) using the reciprocal of cosine
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Secant Formula
sec(θ) = 1 / cos(θ)
Secant is the reciprocal of cosine. It is useful in identities, graphing, and calculus, but it is undefined whenever the cosine value is zero.
⚠ Secant has undefined values at angles where cosine equals zero. Check the selected angle unit before calculating.
How Secant Works
Because secant divides one by cosine, small cosine values produce large secant values. Its graph has vertical asymptotes at cosine zeros.
Reciprocal
sec(θ)=1/cos(θ).
Undefined Cases
Undefined when cos(θ)=0.
Range
Values are ≤ -1 or ≥ 1.
Identity Link
1+tan²(θ)=sec²(θ).
💡 Example: For 60°, sec(60°)=1/0.5=2.
Applications of Secant
Trig Identities
Calculus
Graph Analysis
Reciprocal Functions
Frequently Asked Questions
What is a secant calculator?▼
It calculates sec(x), the reciprocal of cosine, for an entered angle.
What is the secant formula?▼
The formula is sec(θ)=1/cos(θ).
How do I use this calculator?▼
Enter an angle, choose degrees or radians, and click Calculate.
When is secant undefined?▼
Secant is undefined when cos(θ)=0, such as 90° and 270°.
Where is secant used?▼
Secant appears in trig identities, calculus, graph analysis, and reciprocal trigonometric functions.
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