Calculate sine, cosine, tangent and other trigonometric functions
Sine, cosine, tangent and their applications
Trigonometry studies relationships between angles and sides of triangles. The three primary functions — sine, cosine, and tangent — are defined for a right triangle with angle θ. SOH-CAH-TOA: sin(θ) = Opposite/Hypotenuse. cos(θ) = Adjacent/Hypotenuse. tan(θ) = Opposite/Adjacent (= sin/cos). Key values to memorize: sin(0°)=0, sin(30°)=0.5, sin(45°)=√2/2≈0.707, sin(60°)=√3/2≈0.866, sin(90°)=1. Cosine is the mirror: cos(0°)=1, cos(90°)=0. Degrees vs. radians: Radians are the natural unit for angles in mathematics. π radians = 180°. To convert: degrees × π/180 = radians. Most scientific calculators and programming languages use radians. Applications: Architecture and construction (roof angles, staircases), navigation (GPS, aviation), physics (waves, oscillations), computer graphics (3D rotations), and signal processing.
Common questions about trigonometry
Trigonometry is the branch of mathematics that studies the relationships between sides and angles of triangles.
Other useful tools related to mathematical calculations
How to Use? Enter the angle and select unit (degree or radian). All trigonometric functions are calculated automatically.
Ratio of opposite side to hypotenuse
Ratio of adjacent side to hypotenuse
Ratio of opposite side to adjacent side
Reciprocal of tangent: 1/tan
Reciprocal of cosine: 1/cos
Reciprocal of sine: 1/sin
Common questions about trigonometry
Trigonometry is the branch of mathematics that studies the relationships between sides and angles of triangles.