sin(a+B)
sin(a)cos(B)+cos(a)sin(B)
Using the sum-to-product formula, sin(a+B) can be calculated as:
sin(a+B) = sin(a)cos(B) + cos(a)sin(B)
where sin(a) represents the sine of angle a, cos(B) represents the cosine of angle B, cos(a) represents the cosine of angle a, and sin(B) represents the sine of angle B.
This formula is derived from the trigonometric identity sin(a+B) = sin(a)cos(B) + cos(a)sin(B), which can be proven using the addition formula for sine: sin(a+B) = sin(a)cos(B) + cos(a)sin(B).
Therefore, sin(a+B) can be calculated by using the above formula and substituting the values of angles a and B. It is important to make sure that the angles are measured in the same units (degrees or radians) before applying the formula and obtaining the final answer.
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