❖ त्रिकोणमिति : महत्वपूर्ण सूत्र ❖ ➲ योग सूत्र ● Sin(A+B) = SinACosB+CosASinB ● Sin(A-B) = SinACosB-CosASinB ● Cos(A+B) = CosACosB-SinASinB ● Cos(A-B) = CosACosB+SinASinB ➲ अन्तर सूत्र ● tan(A+B) = tanA+tanB/1-tanAtanB ● tan(A-B) = tanA-tanB/1+tanAtanB ➲ C-D सूत्र ● SinC+SinD = 2Sin(C+D/2) Cos(C-D/2) ● SinC-SinD = 2Cos(C+D/2) Sin(C-D/2) ● CosC+CosD = 2Cos(C+D/2) Cos(C-D/2) ● CosC-CosD = 2Sin(C+D/2) Sin(D-C/2) ● CosC-CosD = -2Sin(C+D/2) Sin(C-D/2) ➲ रूपांतरण सूत्र ● 2SinACosB = Sin(A+B)+Sin(A-B) ● 2CosASinB = Sin(A+B)-Sin(A-B) ● 2CosACosB = Cos(A+B)+Cos(A-B) ● 2SinASinB = Cos(A-B)-Cos(A+B) ➲ द्विक कोण सूत्र ● Sin2A = 2SinACosA ● Cos2A = Cos²A-Sin²A = 2Cos²-1 = 1-2Sin²A ● tan2A = 2tanA/1-tan²A ● Sin2A = 2tanA/1+tan²A ● Cos2A = 1-tan²A/1+tan²A ➲ विशिष्ट सूत्र ● Sin(A+B)Sin(A-B) = Sin²A-Sin²B = Cos²B-Cos²A ● Cos(A+B)Cos(A-B) = Cos²A-Sin²B = Cos²B-Sin²A ➲ त्रिक कोण सूत्र ● Sin3A = 3SinA-4Sin³A ● Cos3A = 4Cos³A-3CosA ● tan3A = 3tanA-tan³A/1-3tan²A ➲ महत्वपूर्ण सर्वसमिकाएं ● Sin²θ+Cos²θ = 1 ● Sin²θ = 1-Cos²θ ● Cos²θ = 1-Sin²θ ● 1+tan²θ = Sec²θ ● Sec²θ-tan²θ = 1 ● tan²θ = Sec²θ-1 ● 1+Cot²θ = Cosec²θ ● Cosec²θ-Cot²θ = 1 ● Cot²θ = Cosec²θ-1