Sin Cos Tan Calculator
Sin Cos Tan Calculator
The sine, cosine, and tangent functions relate the angles of a right triangle to the ratios of its sides. They are fundamental to trigonometry, physics, and engineering.
Conversion Formula
sin(θ) = opposite / hypotenuse, cos(θ) = adjacent / hypotenuse, tan(θ) = opposite / adjacent = sin(θ) / cos(θ).
Step-by-Step Examples
45 degrees = sin = 0.7071, cos = 0.7071, tan = 1
A 45° right triangle has equal opposite and adjacent sides, making tan = 1.
30 degrees = sin = 0.5, cos = 0.866, tan = 0.5774
The classic 30-60-90 triangle ratio.
Frequently Asked Questions
What is sin, cos, and tan?
They are the three primary trigonometric functions. In a right triangle, sin = opposite/hypotenuse, cos = adjacent/hypotenuse, and tan = opposite/adjacent.
Why is tan(90°) undefined?
At 90°, cosine equals zero, and tangent is sin/cos. Division by zero is undefined, so tan(90°) does not have a finite value.
What is the difference between degrees and radians?
Both measure angles. A full circle is 360° or 2π radians. Radians are the standard unit in mathematics and physics.
How do I convert between degrees and radians?
Multiply degrees by π/180 to get radians, or multiply radians by 180/π to get degrees.
What are the exact values of sin, cos, and tan for common angles?
sin(30°) = 0.5, sin(45°) = √2/2 ≈ 0.7071, sin(60°) = √3/2 ≈ 0.8660. cos values are the reverse. tan(45°) = 1.