ANIKET NCERT

*Basic Formulas* 1. sin(A) = opposite side / hypotenuse 2. cos(A) = adjacent side / hypotenuse 3. tan(A) = opposite side / adjacent side 4. cot(A) = adjacent side / opposite side 5. sec(A) = hypotenuse / adjacent side 6. csc(A) = hypotenuse / opposite side *Pythagorean Identities* 1. sin^2(A) + cos^2(A) = 1 2. tan^2(A) + 1 = sec^2(A) 3. cot^2(A) + 1 = csc^2(A) *Sum and Difference Formulas* 1. sin(A + B) = sin(A)cos(B) + cos(A)sin(B) 2. sin(A - B) = sin(A)cos(B) - cos(A)sin(B) 3. cos(A + B) = cos(A)cos(B) - sin(A)sin(B) 4. cos(A - B) = cos(A)cos(B) + sin(A)sin(B) 5. tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A)tan(B)) 6. tan(A - B) = (tan(A) - tan(B)) / (1 + tan(A)tan(B)) *Double Angle Formulas* 1. sin(2A) = 2sin(A)cos(A) 2. cos(2A) = cos^2(A) - sin^2(A) 3. tan(2A) = 2tan(A) / (1 - tan^2(A)) *Half Angle Formulas* 1. sin(A/2) = ±√((1 - cos(A)) / 2) 2. cos(A/2) = ±√((1 + cos(A)) / 2) 3. tan(A/2) = ±√((1 - cos(A)) / (1 + cos(A))) *Product to Sum Formulas* 1. sin(A)cos(B) = (1/2)[sin(A + B) ...