The Angle Subtraction Formula For Sine: Calculation Of Sin(A – B)

sin(A-B)

sinAcosB-cosAsinB

Using the angle subtraction formula for sine, we can express sin(A – B) as:

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

where sin(A) represents the sine of angle A and cos(B) represents the cosine of angle B.

This formula allows us to calculate the sine of the difference between two angles, A and B.

For example, if A = 60 degrees and B = 30 degrees, we can plug these values into the formula and get:

sin(A – B) = sin(60 degrees)cos(30 degrees) – cos(60 degrees)sin(30 degrees)
= (sqrt(3)/2)(sqrt(3)/2) – (1/2)(1/2)
= 3/4 – 1/4
= 1/2

Therefore, sin(60 degrees – 30 degrees) = 1/2.

More Answers:

[next_post_link]