Question

-26cos57°/cos123° Решите плиз

Answer 1

Ответ: 27

Решение в приложении)

Answer 2

To solve the expression -26cos57°/cos123°, we can follow these steps:

1. Convert the angles from degrees to radians. 2. Use the trigonometric identity cos(-x) = cos(x) to simplify the expression. 3. Substitute the values into the expression and calculate the result.

Let's go through each step in detail:

Step 1: Convert the angles from degrees to radians

To convert degrees to radians, we use the formula radians = degrees * π / 180.

For angle 57°: radians = 57 * π / 180 ≈ 0.9948 radians

For angle 123°: radians = 123 * π / 180 ≈ 2.1468 radians

Step 2: Simplify the expression using the trigonometric identity

The trigonometric identity cos(-x) = cos(x) tells us that the cosine of a negative angle is equal to the cosine of the positive angle.

Therefore, we can rewrite the expression as -26cos(57°)/cos(123°) = -26cos(0.9948 radians)/cos(2.1468 radians).

Step 3: Calculate the result

Now, we substitute the values into the expression and calculate the result:

-26cos(0.9948 radians)/cos(2.1468 radians) ≈ -26 * 0.5483 / -0.6647 ≈ 21.172

Therefore, the solution to the expression -26cos57°/cos123° is approximately 21.172.

Please note that the above solution is based on the given expression and the trigonometric identities. If there are any additional requirements or constraints, please let me know and I'll be happy to assist you further.