Question

Sin870°+ctg930°помогите ​

Answer 1

Ответ:

Объяснение:sin870+ctg930=sin(2·360+150)+ctg(180·5+30)=

sin150+ctg30=sin(180-30)+ctg30°=sin30+√3=1/2+√3.

Answer 2

To solve the trigonometric expression sin(870°) + ctg(930°), we first need to convert the angles to their equivalent angles within one full circle (360°). The trigonometric functions have a periodicity of 360°, meaning that angles that differ by multiples of 360° have the same trigonometric values.

1. Convert the angles to equivalent angles within one full circle: sin(870°) = sin(870° - 2 * 360°) = sin(150°) ctg(930°) = ctg(930° - 2 * 360°) = ctg(210°)

2. Find the trigonometric values for the converted angles: sin(150°) = 0.5 (approximately) ctg(210°) = 1/tan(210°) = 1/(-√3) = -1/√3 (approximately)

3. Now, add the values together: sin(150°) + ctg(210°) ≈ 0.5 - 1/√3

To simplify the result further, we can rationalize the denominator (multiply the numerator and denominator by √3):

sin(150°) + ctg(210°) ≈ 0.5 - 1/√3 * (√3/√3) ≈ 0.5 - √3/3

The final result is approximately:

sin(870°) + ctg(930°) ≈ 0.5 - √3/3