Sine to Tangent Converter

How to Convert Sine to Tangent

To convert a sine value to a tangent value, you can use a trigonometric identity that relates sine and cosine:

Formula:

tan(θ) = sin(θ) / cos(θ)

Since cosine can also be written in terms of sine using the Pythagorean identity:

cos(θ) = √(1 - sin²(θ))

So the full formula becomes:

tan(θ) = sin(θ) / √(1 - sin²(θ))

Example:

Suppose sin(θ) = 0.6

Step 1: Calculate cos(θ) → √(1 - 0.6²) = √(1 - 0.36) = √0.64 = 0.8

Step 2: Divide sine by cosine → 0.6 / 0.8 = 0.75

Result: tan(θ) = 0.75