(sin22градусов * cos8градусов + cos158градусов * cos98градусов) / (sin23градусов * cos7градусов + cos157градусов * cos97градусов)

Предыдущий
вопрос Следующий
вопрос

Let's first evaluate each individual trigonometric function:

sin(22 degrees) ≈ 0.3746
cos(8 degrees) ≈ 0.9903
cos(158 degrees) ≈ -0.9848
cos(98 degrees) ≈ -0.174

Now, substitute these values into the expression:

(0.3746 0.9903 + (-0.9848) (-0.174)) / (sin(23 degrees) cos(7 degrees) + cos(157 degrees) cos(97 degrees))

Now, evaluate the remaining trigonometric functions using the same process as above and substitute them into the expression.

(sin(23 degrees) ≈ 0.3907
cos(7 degrees) ≈ 0.9914
cos(157 degrees) ≈ -0.9875
cos(97 degrees) ≈ -0.1736

Finally, substitute these values into the expression:

(0.3746 0.9903 + (-0.9848) (-0.174)) / (0.3907 0.9914 + (-0.9875) (-0.1736))

Now, calculate the numerator and denominator separately and then divide the result:

Numerator = (0.3746 0.9903 + (-0.9848) (-0.174)) ≈ 0.7574
Denominator = (0.3907 0.9914 + (-0.9875) (-0.1736)) ≈ 0.3525

Therefore, the final result is approximately:

0.7574 / 0.3525 ≈ 2.1475

Therefore, (sin22градусов cos8градусов + cos158градусов cos98градусов) / (sin23градусов cos7градусов + cos157градусов cos97градусов) ≈ 2.1475.