Trigonometry
Class 11

Compound Angle - Sine

sin(A+B)=sinAcosB+cosAsinB\sin(A+B) = \sin A \cos B + \cos A \sin B
0123456−1−0.500.51
sin(A+B) = sinA×cosB + cosA×sinB

Adjust Variables

Angle A (deg)
A =
0180

Sine of sum of two angles. Essential for deriving double angle formulas and solving trigonometric equations.

Real-World Applications

Wave interference — Sum of two waves with different phases.

Audio processing — Frequency modulation in radio transmission.

Robotics — Calculating joint angles in multi-segment arms.

Music synthesis — Creating complex tones from simple sine waves.

Navigation — Combining bearings from different reference points.

Structural analysis — Resolving forces at compound angles.

Optics — Light wave interference patterns.

Animation — Smooth rotation interpolation.

Surveying — Triangulation calculations.

Electrical circuits — Phase angle calculations in AC circuits.

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