Calculating sin(A-B) | Step-by-Step Guide using Trigonometric Identity

sin(A-B)

The trigonometric function sin(A-B) represents the sine of the difference between the angles A and B

The trigonometric function sin(A-B) represents the sine of the difference between the angles A and B. This can be calculated using the following trigonometric identity:

sin(A-B) = sin(A)cos(B) – cos(A)sin(B)

Here’s a step-by-step explanation of how to calculate sin(A-B):

1. Determine the values of sin(A), cos(A), sin(B), and cos(B). These values can either be given in the problem or obtained using trigonometric identities or a calculator.

2. Substitute the values into the sin(A-B) formula:

sin(A-B) = sin(A)cos(B) – cos(A)sin(B)

3. Multiply sin(A) by cos(B) and cos(A) by sin(B):

sin(A-B) = (sin(A) * cos(B)) – (cos(A) * sin(B))

4. Simplify the expression:

sin(A-B) = sin(A)cos(B) – cos(A)sin(B)

And that’s how you calculate sin(A-B) using the given trigonometric identity. Remember to substitute the appropriate values for A and B to get the final result.

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