Sine to Cosine Converter

How to Convert Sine to Cosine

To convert a sine value to a cosine value, use the Pythagorean identity from trigonometry:

Formula:

cos(θ) = ±√(1 - sin²(θ))

The ± (plus-minus) sign means that cosine can be positive or negative depending on the quadrant where the angle lies.

Example:

Suppose sin(θ) = 0.6

Step 1: Square the sine value → 0.6² = 0.36

Step 2: Subtract from 1 → 1 - 0.36 = 0.64

Step 3: Take the square root → √0.64 = 0.8

Result: cos(θ) = ±0.8

Note: The actual sign of the cosine value depends on the angle’s quadrant:

• Quadrant I: cos(θ) is positive
• Quadrant II: cos(θ) is negative
• Quadrant III: cos(θ) is negative
• Quadrant IV: cos(θ) is positive