Question

Синус 270 минус альфа минус косинус 180 плюс альфа при альфа равна пи деленное на 6(срочно нужно помогите пожалуйста)

Answer 1

Sin(270-a)-cos(180+a)=-cosa+cosa=0

Answer 2

Calculating the Expression

To calculate the expression sin(270 - α) - cos(180 + α) when α = π/6, we can use the following steps:

1. Convert Degrees to Radians: - 270 degrees = 3π/2 radians - 180 degrees = π radians

2. Substitute α with π/6: - sin(3π/2 - π/6) - cos(π + π/6)

3. Calculate the Values: - sin(5π/6) - cos(7π/6)

4. Use Trigonometric Identities: - sin(5π/6) = cos(π/6) - cos(7π/6) = -cos(π/6)

5. Final Calculation: - cos(π/6) - (-cos(π/6)) - 2cos(π/6)

Therefore, the value of the expression is 2cos(π/6).

Result

The value of the expression sin(270 - α) - cos(180 + α) when α = π/6 is 2cos(π/6).