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Sine Calculator

📐 Sine Calculator

Calculate the sine of an angle in degrees. Enter the angle, and get the sine value.

Result will appear here…

📌 Understanding Sine Calculation

The sine function calculates the ratio of the opposite side to the hypotenuse in a right-angled triangle. The formula is:

  • sin(θ) = Opposite / Hypotenuse
  • In terms of the unit circle, sin(θ) = y / r, where r = 1.

📌 Example Calculations

Angle (Degrees)sin(θ)
0°0
30°0.5
45°0.7071
60°0.8660
90°1

🔧 Practical Applications of Sine Function

1. Engineering & Physics: Used in wave mechanics and oscillations.

2. Navigation & GPS: Helps in triangulation and positioning.

3. Architecture & Construction: Essential in slope calculations and trigonometric designs.

❓ FAQs

Q1: How do I calculate sine?
✅ Use the formula sin(θ) = Opposite / Hypotenuse

Q2: What is the sine of 90°?
✅ sin(90°) = 1

Q3: Can sine be negative?
✅ Yes, in the third and fourth quadrants of the unit circle.

Q4: Where is sine function commonly used?
✅ It is widely used in **engineering, physics, and navigation**.

Q5: Why is sine function important?
✅ It helps in **solving real-world problems related to waves, angles, and periodic motion**.

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