sin(A+. b)
To find the value of sin(A+B), we can use the formula for the sine of the sum of two angles:
sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
This formula is derived from the relationships between the trigonometric functions and the ratios of sides in a right triangle
To find the value of sin(A+B), we can use the formula for the sine of the sum of two angles:
sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
This formula is derived from the relationships between the trigonometric functions and the ratios of sides in a right triangle.
In this formula, 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.
So, to find the value of sin(A + B), you need to know the values of sin(A), cos(B), cos(A), and sin(B). These values can be found using tables or calculators.
Let’s consider an example:
If A = 30 degrees and B = 45 degrees, we can find the values of sin(A) and sin(B).
Using a calculator or a table, we find that sin(30 degrees) = 0.5 and sin(45 degrees) = 0.707
Similarly, we find the values of cos(A) and cos(B).
cos(30 degrees) = 0.866 and cos(45 degrees) = 0.707
Now, we can substitute these values into the formula to find sin(A + B):
sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
= (0.5)(0.707) + (0.866)(0.707)
= 0.354 + 0.610
= 0.964
Therefore, sin(A + B) is equal to 0.964 for A = 30 degrees and B = 45 degrees.
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