Trigonometry
Class 11

Cosine Rule

c2=a2+b22abcosCc^2 = a^2 + b^2 - 2ab\cos C
05010015024681012
c² = a² + b² - 2ab×cosC

Adjust Variables

Side a
a =
120
Side b
b =
120

Generalization of Pythagoras theorem for any triangle. Reduces to a² + b² = c² when C = 90°.

Real-World Applications

GPS — Calculating distance between two locations on Earth.

Surveying — Finding distances when direct measurement is impossible.

Physics — Vector addition for resultant force/velocity.

Navigation — Dead reckoning in aviation and sailing.

Robotics — Calculating reach of robot arm segments.

Architecture — Roof truss calculations.

Sports analysis — Calculating passing distances in football.

Astronomy — Orbital mechanics calculations.

Gaming — Line-of-sight calculations in 3D games.

Construction — Diagonal measurements in foundations.

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