Sine to Secant Converter

How to Convert Sine to Secant

To convert a sine value to its corresponding secant, use the following identity from trigonometry:

Formula:

sec(θ) = 1 / √(1 - sin²(θ))

Note that secant is undefined when sin(θ) = ±1, as this would involve division by zero.

Example:

Suppose sin(θ) = 0.5

Step 1: Calculate 1 - sin²(θ) → 1 - 0.5² = 1 - 0.25 = 0.75

Step 2: Take the square root → √0.75 ≈ 0.866

Step 3: Find secant → sec(θ) = 1 / 0.866 ≈ 1.1547

Result: sec(θ) ≈ 1.1547