To find the value of the expression sin(123°) cos(33°) - cos(123°) sin(33°), we first need to calculate the sine and cosine of 123° and 33° using a calculator or trigonometric identities.
sin(123°) ≈ 0.750, cos(123°) ≈ -0.662,sin(33°) ≈ 0.544, cos(33°) ≈ 0.839.
Now we substitute these values into the expression:
(0.750 0.839) - (-0.662 0.544)= 0.629 - (-0.360)= 0.629 + 0.360= 0.989.
Therefore, sin(123°) cos(33°) - cos(123°) sin(33°) is approximately equal to 0.989.
To find the value of the expression sin(123°) cos(33°) - cos(123°) sin(33°), we first need to calculate the sine and cosine of 123° and 33° using a calculator or trigonometric identities.
sin(123°) ≈ 0.750, cos(123°) ≈ -0.662,
sin(33°) ≈ 0.544, cos(33°) ≈ 0.839.
Now we substitute these values into the expression:
(0.750 0.839) - (-0.662 0.544)
= 0.629 - (-0.360)
= 0.629 + 0.360
= 0.989.
Therefore, sin(123°) cos(33°) - cos(123°) sin(33°) is approximately equal to 0.989.