Math Assignment Help With Trigonometric Formulae

9.8 Trigonometric Formulae:

9.8.1 Sum formulae

For any angle A and B

Sin (A+B) = sinAcosB + cosAsinB

Cos (A+B) = cosAcosB – sinAsinB

Tan (A+B) = tanA + tanB / 1 – tanAtanB

9.8.2 Difference formulae:

For any angle A and B

Sin (A – B) = sinAcosB – cosAsinB

Cos (A – B) = cosAcosB + sinAsinB

Tan (A – B) = tanA – tanB/1 + tanAtanB

For any angle A and B

Sin (A+B)sin (A – B) = (sin²A – sin²B)

Cos (A+B)cos (A – B) = (cos²A – sin²B)

9.8.3 A, B formulae:

For any angles A and B

2 sinA cosB = sin (A+B) + sin (A-B)

2 cosA cosB = sin (A+B) – sin (A-B)

2 cosA cosB = cos (A+B) + cos (A-B)

2 sinA sinB = cos (A-B) – cos (A+B)

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