(sin123°×cos33°-cos123°×sin33°)

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вопрос

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 + 0.36
= 0.989.

Therefore, sin(123°) cos(33°) - cos(123°) sin(33°) is approximately equal to 0.989.