sin(A+B)
sinAcosB+cosAsinB
The value of sin(A+B) can be expressed by using trigonometric identities as follows:
sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
Here, we have used the trigonometric identity for the sum of two angles.
In words, sin(A + B) is equal to the sine of angle A times the cosine of angle B, plus the cosine of angle A times the sine of angle B.
This identity is useful in solving problems involving angles and their trigonometric functions. For instance, if we know the values of sinA, cosA, sinB, and cosB, we can use the above formula to find the value of sin(A + B).
Note that this identity can also be written as:
sin(A + B) = 2sin[(A+B)/2]cos[(A-B)/2]
This alternate form can also be used to simplify and solve trigonometric expressions.
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