Cos 112 cos 67 - 2+ sin 112sin 67

Предыдущий
вопрос Следующий
вопрос

First, we need to convert the angles from degrees to radians to use in trigonometric calculations:

cos(112°) = cos(112° π/180) ≈ cos(1.949 radians) ≈ -0.418
cos(67°) = cos(67° π/180) ≈ cos(1.169 radians) ≈ 0.396
sin(112°) = sin(112° π/180) ≈ sin(1.949 radians) ≈ 0.909
sin(67°) = sin(67° π/180) ≈ sin(1.169 radians) ≈ 0.923

Now we can substitute the values into the equation:

cos(112)cos(67) - 2 + sin(112)sin(67)
= (-0.418)(0.396) - 2 + (0.909)(0.923)
= -0.165 - 2 + 0.838
= -1.327

Therefore, the value of the expression is approximately -1.327.