Question

0,2(cos5*cos55+sin55*cos5)

Answer 1

~0,1603492073854045 ну или 0.16

Answer 2

To calculate the value of the expression, we need to evaluate the trigonometric functions involved. Let's break it down step by step:

1. Convert angles to radians:

   • 55 degrees = 55 * (π/180) radians
   • 5 degrees = 5 * (π/180) radians

2. Calculate the trigonometric values:

   • cos(55 * (π/180)) = 0.57357643635 (approximately)
   • cos(5 * (π/180)) = 0.99619469809 (approximately)
   • sin(55 * (π/180)) = 0.81915204429 (approximately)

3. Substitute the values back into the expression: 0.2 * (cos(5 * (π/180)) * cos(55 * (π/180)) + sin(55 * (π/180)) * cos(5 * (π/180)))

Now, let's calculate:

0.2 * (0.99619469809 * 0.57357643635 + 0.81915204429 * 0.99619469809)

0.2 * (0.57123660466 + 0.81502384379)

0.2 * 1.38626044845

0.27725208969

So, the value of the expression is approximately 0.2773 (rounded to four decimal places).