Final answer:
The sum and difference formulas are used in trigonometry to find the sine, cosine, and tangent of the sum or difference of two angles.
Step-by-step explanation:
The sum and difference formulas are commonly used in trigonometry to find the sine, cosine, and tangent of the sum or difference of two angles. They can be used to simplify trigonometric expressions and solve trigonometric equations.
The sum formulas are:
- Sine: sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
- Cosine: cos(A + B) = cos(A)cos(B) - sin(A)sin(B)
The difference formulas are:
- Sine: sin(A - B) = sin(A)cos(B) - cos(A)sin(B)
- Cosine: cos(A - B) = cos(A)cos(B) + sin(A)sin(B)