sin(A-B)
sinAcosB-cosAsinB
To find sin(A-B), we can use the trigonometric identity:
sin(A-B) = sin A cos B – cos A sin B
where A and B are the angles in radians.
This formula is derived from the angle subtraction formula for sine:
sin(A-B) = sin A cos (-B) – cos A sin (-B)
Note that cos(-B) = cos B and sin(-B) = -sin B.
Substituting these values in the formula, we get:
sin(A-B) = sin A cos B – cos A sin B
Therefore, sin(A-B) can be calculated by taking the sine of angle A, multiplying it by the cosine of angle B and subtracting the cosine of angle A multiplied by the sine of angle B.
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