trignometry

The summation formulas for sine, cosine, and tangent are the key identities that govern trigonometric relationships. These formulas help us analyse combinations of angles in various scenarios, from simple geometric calculations to complex oscillatory systems. Let’s revise these fundamental concepts. Derivation Cos(A+B)=OP/OS=(OQ-PQ)/OS =OQ/OS-PQ/OS =OQ/OR*OR/OS-PQ/SR*SR/OS =CosA*CosB-SinA*SinB …………(since PQ=TR) Sin(A+B)=SP/OS=(ST+TP)/OS =ST/OS+TP/OS =ST/SR*SR/OS+TP/OR*OR/OS =CosA*SinB +SinA*CosB ………..(since TP=RQ) Tan(A+B)=Sin(A+B)/Cos(A+B)…