Formula Used:
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Sin A is the value of the trigonometric sine function of the angle A. In a right triangle, it describes the ratio of the length of the opposite side to the length of the hypotenuse.
The calculator uses the sine function:
Where:
Explanation: The sine function calculates the trigonometric sine value of the given angle measured in radians.
Details: Sine calculations are fundamental in trigonometry, physics, engineering, and many scientific applications where periodic phenomena or right triangle relationships are involved.
Tips: Enter the angle value in radians. The angle must be a non-negative value. For degrees, convert to radians first (radians = degrees × π/180).
Q1: What is the range of sine values?
A: Sine values range from -1 to 1 for all real angles.
Q2: Can I input angles in degrees?
A: This calculator requires angles in radians. Convert degrees to radians by multiplying by π/180.
Q3: What are common sine values?
A: sin(0) = 0, sin(π/6) = 0.5, sin(π/2) = 1, sin(π) = 0, sin(3π/2) = -1.
Q4: Is the sine function periodic?
A: Yes, the sine function is periodic with a period of 2π radians.
Q5: Where is sine function used in real life?
A: Sine functions are used in wave mechanics, alternating current circuits, sound waves, light waves, and many oscillatory phenomena.